An exponential function approach to parabolic equations

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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. Contents: Existence Theorems for Cauchy Problems; Existence Theorems for Evolution Equations (I); Linear Autonomous Parabolic E…

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Title Statements

Full title :An exponential function approach to parabolic equations / Chin-Yuan Lin.

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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:1 online resource.

Edition Identifiers

ISBN:9814616397, 9789814616393
oclc:ocn893487338
LC Classification:QA377
Dewey Decimal:515/.3534

Preface; Contents; Chapter 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; Chapter 2. Existence Theorems for Evolution Equations (I); 1. Introduction; 2. Main Results.

3. Examples4. Some Preliminary Estimates; 5. Proof of the Main Results; 6. Difference Equations Theory; Chapter 3. Linear Autonomous Parabolic Equations; 1. Introduction; 2. Main Results; 3. Proof of One Space Dimensional Case; 4. Proof of Higher Space Dimensional Case; Chapter 4. Nonlinear Autonomous Parabolic Equations; 1. Introduction; 2. Main Results; 3. Proof of One Space Dimensional Case; 4. Proof of Higher Space Dimensional Case; Chapter 5. Linear Non-autonomous Parabolic Equations; 1. Introduction; 2. Main Results; 3. Proof of One Space Dimensional Case.

4. Proof of Higher Space Di…

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