Nonlinear partial differential equations with applications
著者
書誌事項
Nonlinear partial differential equations with applications
（International series of numerical mathematics, v. 153）
Birkhäuser, c2005
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注記
Includes bibliographical references (p. [383]-398) and index
内容説明・目次
内容説明
This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition quickly leads general theory to analysis of concrete equations, which have specific applications in such areas as electrically (semi-) conductive media, modeling of biological systems, and mechanical engineering. Methods of Galerkin or of Rothe are exposed in a large generality.
目次
- Preliminary general material.- Pseudomonotone or weakly continuous mappings.- Accretive mappings.- Potential problems: smooth case.- Nonsmooth problems
- variational inequalities.- Systems of equations: particular examples.- Special auxiliary tools.- Evolution by pseudomonotone or weakly continuous mappings.- Evolution governed by accretive mappings.- Evolution governed by certain set-valued mappings.- Doubly-nonlinear problems.- Systems of equations: particular examples.
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