Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations: 36 (Fields Institute Monographs, 36) - Hardcover

Efendiev, Messoud

 
9783319984063: Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations: 36 (Fields Institute Monographs, 36)
Hardcover
ISBN 10: 3319984063 ISBN 13: 9783319984063
Publisher: Springer, 2018

Synopsis

This book deals with a systematic study of a dynamical system approach to investigate the symmetrization and stabilization properties of nonnegative solutions of nonlinear elliptic problems in asymptotically symmetric unbounded domains. The usage of infinite dimensional dynamical systems methods for elliptic problems in unbounded domains as well as finite dimensional reduction of their dynamics requires new ideas and tools. To this end, both a trajectory dynamical systems approach and new Liouville type results for the solutions of some class of elliptic equations are used. The work also uses symmetry and monotonicity results for nonnegative solutions in order to characterize an asymptotic profile of solutions and compares a pure elliptic partial differential equations approach and a dynamical systems approach. The new results obtained will be particularly useful for mathematical biologists.

"synopsis" may belong to another edition of this title.

From the Back Cover

This book deals with a systematic study of a dynamical system approach to investigate the symmetrization and stabilization properties of nonnegative solutions of nonlinear elliptic problems in asymptotically symmetric unbounded domains. The usage of infinite dimensional dynamical systems methods for elliptic problems in unbounded domains as well as finite dimensional reduction of their dynamics requires new ideas and tools. To this end, both a trajectory dynamical systems approach and new Liouville type results for the solutions of some class of elliptic equations are used. The work also uses symmetry and monotonicity results for nonnegative solutions in order to characterize an asymptotic profile of solutions and compares a pure elliptic partial differential equations approach and a dynamical systems approach. The new results obtained will be particularly useful for mathematical biologists.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2018
Language
English
ISBN 10 
3319984063
ISBN 13 
9783319984063
Binding
Hardcover
Edition number
1
Number of pages
275

Other Popular Editions of the Same Title

9783030074913: Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations: 36 (Fields Institute Monographs, 36)

Featured Edition

ISBN 10:  3030074919 ISBN 13:  9783030074913
Publisher: Springer, 2019
Softcover