An exponential function approach to parabolic equations
著者
書誌事項
An exponential function approach to parabolic equations
(Series on concrete and applicable mathematics, 15)
World Scientific, c2015
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内容説明・目次
内容説明
This volume is on initial-boundary value problems for parabolic partial differential equations of second order. It rewrites the problems as abstract Cauchy problems or evolution equations, and then solves them by the technique of elementary difference equations. Because of this, the volume assumes less background and provides an easy approach for readers to understand.
目次
- Existence Theorems for Cauchy Problems
- Existence Theorems for Evolution Equations (I)
- Linear Autonomous Parabolic Equations
- Nonlinear Autonomous Parabolic Equations
- Linear Non-autonomous Parabolic Equations
- Nonlinear Non-autonomous Parabolic Equations (I)
- The Associated Elliptic Equations
- Existence Theorems for Evolution Equations (II)
- Nonlinear Non-autonomous Parabolic Equations (II)
- Appendix
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