An exponential function approach to parabolic equations
"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. Readership: Mathematical graduate students and researchers in the area of analysis and differential equations. It is also good…
Read More ↓Title Statements
- Full title :An exponential function approach to parabolic equations / Chin-Yuan Lin (National Central University, Taiwan).
Summary
"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. Readership: Mathematical graduate students and researchers in the area of analysis and differential equations. It is also good for engineering graduate students and researchers who are interested in parabolic partial differential equations."--Publisher.
Read More ↓Edition Statements
- Publication Date:©2015
Publication Statements
- Publisher(s):World Scientific Publishing
- Place of Publication:Hackensack, NJ
- Language:eng
- Publication Date:©2015
The Physical Object
- Description:x, 163 pages ; : 26 cm
Edition Identifiers
- ISBN:9789814616386, 9814616389
- oclc:ocn900029273
- LC Classification:QA377
- Dewey Decimal:515.3534
Table of Contents
Machine generated contents note: ch. 1 Existence Theorems for Cauchy Problems -- 1. Introduction -- 2. Main Results -- 2.1. Linear Homogeneous Equations -- 2.2. Nonlinear Homogeneous Equations -- 2.3. Linear Nonhomogeneous Equations -- 2.4. Nonlinear Nonhomogeneous Equations -- 3. Examples -- 4. Some Preliminary Results -- 5. Difference Equations Theory -- 6. Proof of the Main Results -- 6.1. The Nonlinear Homogeneous Case -- 6.2. The Linear Homogeneous Case -- 6.3. The Linear Nonhomogeneous Case -- 6.4. The Nonlinear Nonhomogeneous Case -- ch. 2 Existence Theorems for Evolution Equations (I) -- 1. Introduction -- 2. Main Results -- 3. Examples -- 4. Some Preliminary Estimates -- 5. Proof of the Main Results -- 6. Difference Equations Theory -- ch. 3 Linear Autonomous Parabolic Equations -- 1. Introduction -- 2. Main Results -- 3. Proof of One Space Dimensional Case -- 4. Proof of Higher Space Dimensional Case -- ch. 4 Nonlinear Autonomous Parabolic Equations -- 1. Introduction -- 2. Main Results.
Contents note continued: 3. Proof of One Space Dimensional Case -- 4. Proof of Higher Space Dimensional Case -- ch. 5 Linear Non-autonomous Parabolic Equations -- 1. Introduction -- 2. …
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