Mathematical surveys and monographs· 2013
Monotone Operators in Banach Space and Nonlinear Partial Differential Equations
- 1,206citations
- 2013year
Short summary
This work introduces monotone operators in Banach spaces as a foundational tool for solving nonlinear partial differential equations (PDEs). It covers stationary and evolution problems, including nonlinear Cauchy problems.
AI-generated from the title and abstract; the full text is not read.
Key points
- Monotone operators in Banach spaces are presented as a unified approach to nonlinear PDEs.
- The book covers nonlinear stationary and evolution problems.
- Nonlinear Cauchy problems are specifically addressed using this operator theory.
- The content is structured for researchers in analysis and applied mathematics.
AI-generated from the title and abstract; the full text is not read.
Abstract
PDE examples by type Linear problems...An introduction Nonlinear stationary problems Nonlinear evolution problems Accretive operators and nonlinear Cauchy problems Appendix Bibliography Index.
The authors' abstract, as published at the source. Mathematical surveys and monographs, 2013 · DOI ↗
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Field: Applied Mathematics
Applied MathematicsMathematics