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  • Language: English

    Published by Springer Basel, CH, 2014

    3034808399 / 9783034808392

    Series: Book 13 of 35 - Advanced Courses in Mathematics - CRM Barcelona

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    Paperback. Condition: New. This book targets graduate students and researchers who want to learn about Lebesgue spaces and solutions to hyperbolic equations. It is divided into two parts.Part 1 provides an introduction to the theory of variable Lebesgue spaces: Banach function spaces like the classical Lebesgue spaces but with the constant exponent replaced by an exponent function. These spaces arise naturally from the study of partial differential equations and variational integrals with non-standard growth conditions. They have applications to electrorheological fluids in physics and to image reconstruction. After an introduction that sketches history and motivation, the authors develop the function space properties of variable Lebesgue spaces; proofs are modeled on the classical theory. Subsequently, the Hardy-Littlewood maximal operator is discussed. In the last chapter, other operators from harmonic analysis are considered, such as convolution operators and singular integrals. The text is mostly self-contained, with only some more technical proofs and background material omitted. Part 2 gives an overview of the asymptotic properties of solutions to hyperbolic equations and systems with time-dependent coefficients. First, an overview of known results is given for general scalar hyperbolic equations of higher order with constant coefficients. Then strongly hyperbolic systems with time-dependent coefficients are considered. A feature of the described approach is that oscillations in coefficients are allowed. Propagators for the Cauchy problems are constructed as oscillatory integrals by working in appropriate time-frequency symbol classes. A number of examples is considered and the sharpness of results is discussed. An exemplary treatment of dissipative terms shows how effective lower order terms can change asymptotic properties and thus complements the exposition.…

  • Language: English

    Published by Springer Basel, CH, 2013

    3034877439 / 9783034877435

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    Paperback. Condition: New. Semiconductor equipment modeling has in recent years become a field of great interest, because it offers the potential to support development and optimization of manufacturing equipment and hence reduce the cost and improve the quality of the reactors. This book is the result of two parallel lines of research dealing with the same subject - Modeling of Tungsten CVD processes -, which were per­ formed independently under very different boundary conditions. On the one side, Chris Kleijn, working in an academic research environment, was able to go deep enough into the subject to laya solid foundation and prove the validity of all the assumptions made in his work. On the other side, Christoph Werner, working in the context of an industrial research lab, was able to closely interact with manufacturing and development engineers in a modern submicron semiconductor processing line. Because of these different approaches, the informal collaboration during the course of the projects proved to be extremely helpful to both sides, even though - or perhaps because - different computer codes, different CVD reactors and also slightly different models were used. In spite of the inconsistencies which might arise from this double approach, we feel that the presentation of both sets of results in one book will be very useful for people working in similar projects. Softcover reprint of the original 1st ed. 1993.…

  • Language: English

    Published by Springer Basel, CH, 2014

    3034863071 / 9783034863070

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    Paperback. Condition: New. Softcover reprint of the original 1st ed. 1982.

  • Language: English

    Published by Springer Basel, CH, 2013

    3034875444 / 9783034875448

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    Paperback. Condition: New. This volume contains the proceedings of the workshop on "Soil Monitoring: Methods for Early Detection and Surveying of Soil Contamination and Degradation", held at the ETH seminar centre "Stefano Franscini" of Monte Verita, Ascona (Switzerland) from October 18 - 23, 1992. Seventy participants, representing a variety of institutions, nations, and disciplines, discussed the concepts, approaches, status, gaps, problems, and perspectives of soil pollution monitoring. The idea for this workshop came from A. Desaules when he was installing the Swiss National Soil Monitoring Network (NABO) as his doubts about the philosophy of soil monitoring prevailing at that time increased. This philosophy essentially equated soil mo­ nitoring with repetitive surveys of soil pollutant concentrations at pennanent observation sites. He sought others interested in discussing alternatives, and he found a ready partner in the ETH-Institute for Terrestrial Ecology. Soon it was realized that a discussion of the NABO would immediately raise general questions with respect to the conceptual basis of soil monitoring and that a minimum agreement on this basis was indispensable to discuss more specific problems related to the realization of the NABO. As a result, a workshop was organized whose objectives were in particular (i) an assessment of current knowledge on soil monitoring by pennanent networks, (ii) a syn­ thesis of the experience from different disciplines related to soil monitoring, (iii) the identification ofresearch gaps with respect to long-tenn and large-scale soil monitoring, and (iv) the design of a platfonn for the development of soil monitoring strategies and methodology. Softcover reprint of the original 1st ed. 1993. …

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    Language: German

    Published by Springer Basel, CH, 2014

    3034869290 / 9783034869294

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    Paperback. Condition: New. Softcover reprint of the original 1st ed. 1955.

  • Language: German

    Published by Springer Basel, CH, 2012

    3034877323 / 9783034877329

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    Paperback. Condition: New. Softcover reprint of the original 1st ed. 1991.

  • Language: German

    Published by Springer Basel, CH, 2014

    3034850239 / 9783034850230

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    Paperback. Condition: New. 1998 ed.

  • Language: German

    Published by Springer Basel, CH, 2014

    3034869754 / 9783034869751

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    Paperback. Condition: New. Softcover reprint of the original 1st ed. 1969.

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    Language: German

    Published by Springer Basel, CH, 2014

    3034869681 / 9783034869683

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    Paperback. Condition: New. Softcover reprint of the original 1st ed. 1967.

  • Language: German

    Published by Springer Basel, CH, 2012

    3034878060 / 9783034878067

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    Paperback. Condition: New. 2. Auflage 1995.

  • Language: German

    Published by Springer Basel, CH, 2014

    303486891X / 9783034868914

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    Paperback. Condition: New. Softcover reprint of the original 1st ed. 1966.

  • Language: English

    Published by Springer Basel, CH, 2014

    3034859201 / 9783034859202

    • Softcover

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    Paperback. Condition: New. Softcover reprint of the original 1st ed. 1977.

  • Language: German

    Published by Springer Basel, CH, 2014

    3034854315 / 9783034854313

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    Paperback. Condition: New. Softcover reprint of the original 1st ed. 1984.

  • Language: German

    Published by Springer Basel, CH, 2014

    3034864736 / 9783034864732

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    Paperback. Condition: New. Softcover reprint of the original 1st ed. 1971.

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    Language: German

    Published by Springer Basel, CH, 2014

    3034868413 / 9783034868419

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    Paperback. Condition: New. Softcover reprint of the original 1st ed. 1954.

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    Language: German

    Published by Springer Basel, CH, 2014

    3034868332 / 9783034868334

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    Paperback. Condition: New. Softcover reprint of the original 1st ed. 1952.

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    Language: German

    Published by Springer Basel, CH, 2014

    3034868375 / 9783034868372

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    Paperback. Condition: New. Softcover reprint of the original 1st ed. 1968.

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    Language: German

    Published by Springer Basel, CH, 2014

    3034868863 / 9783034868860

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    Paperback. Condition: New. Softcover Reprint of the Original 1st 1970 ed.

  • Language: German

    Published by Springer Basel, CH, 2013

    3034877986 / 9783034877985

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    Paperback. Condition: New. Softcover Reprint of the Original 1st 1998 ed.

  • Language: German

    Published by Springer Basel, CH, 2014

    3034869177 / 9783034869171

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    Paperback. Condition: New. 5. Auflage 1968.

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    Language: German

    Published by Springer Basel, CH, 2014

    3034868553 / 9783034868556

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    Paperback. Condition: New. Softcover reprint of the original 1st ed. 1962.

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    Language: German

    Published by Springer Basel, CH, 2014

    3034868294 / 9783034868297

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    Paperback. Condition: New. Softcover reprint of the original 1st ed. 1953.

  • Language: German

    Published by Springer Basel, CH, 2014

    3034869576 / 9783034869577

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    Paperback. Condition: New. Softcover reprint of the original 1st ed. 1950.

  • Language: German

    Published by Springer Basel, CH, 2014

    3034868596 / 9783034868594

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    Paperback. Condition: New. Softcover reprint of the original 1st ed. 1954.

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    Language: German

    Published by Springer Basel, CH, 2014

    3034863950 / 9783034863957

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    Paperback. Condition: New. Softcover Reprint of the Original 1st 1988 ed.

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    Language: German

    Published by Springer Basel, CH, 2014

    3034867077 / 9783034867078

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    Paperback. Condition: New. Softcover reprint of the original 1st ed. 1982.

  • Language: German

    Published by Springer Basel, CH, 2013

    3034878303 / 9783034878302

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    Paperback. Condition: New. Softcover Reprint of the Original 1st 1998 ed.

  • Language: German

    Published by Springer Basel, CH, 2014

    3034864426 / 9783034864428

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    Paperback. Condition: New. Softcover reprint of the original 1st ed. 1977.

  • Language: German

    Published by Springer Basel, CH, 2014

    3034852991 / 9783034852999

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    Paperback. Condition: New. 1979 ed.

  • Language: English

    Published by Springer Basel, CH, 2013

    3034806175 / 9783034806176

    Series: Book 12 of 35 - Advanced Courses in Mathematics - CRM Barcelona

    • Softcover

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    Paperback. Condition: New. The notes in this volume correspond to advanced courses held at the Centre de Recerca Matemàtica as part of the research program in Arithmetic Geometry in the 2009-2010 academic year.The notes by Laurent Berger provide an introduction to p-adic Galois representations and Fontaine rings, which are especially useful for describing many local deformation rings at p that arise naturally in Galois deformation theory.The notes by Gebhard Böckle offer a comprehensive course on Galois deformation theory, starting from the foundational results of Mazur and discussing in detail the theory of pseudo-representations and their deformations, local deformations at places l ? p and local deformations at p which are flat. In the last section,the results of Böckle and Kisin on presentations of global deformation rings over local ones are discussed. The notes by Mladen Dimitrov present the basics of the arithmetic theory of Hilbert modular forms and varieties, with an emphasis on the study of the images of the attached Galois representations, on modularity lifting theorems over totally real number fields, and on the cohomology of Hilbert modular varieties with integral coefficients. The notes by Lassina Dembélé and John Voight describe methods for performing explicit computations in spaces of Hilbert modular forms. These methods dependon the Jacquet-Langlands correspondence and on computations in spaces of quaternionic modular forms, both for the case of definite and indefinite quaternion algebras. Several examples are given, and applications to modularity of Galois representations are discussed. The notes by Tim Dokchitser describe the proof, obtained by the author in a joint project with Vladimir Dokchitser, of the parity conjecture for elliptic curves over number fields under the assumption of finiteness of the Tate-Shafarevich group. The statement of the Birch and Swinnerton-Dyer conjecture is included, as well as a detailed study of local and global root numbers of elliptic curves and their classification.…