Linear and Semilinear Partial Differential Equations

Radu Precup

ISBN 10: 311026904X / ISBN 13: 9783110269048

Published by De Gruyter, DE, 2012

About this Item

The text is intended for students who wish a concise and rapid introduction to some main topics in PDEs, necessary for understanding current research, especially in nonlinear PDEs. Organized on three parts, the book guides the reader from fundamental classical results, to some aspects of the modern theory and furthermore, to some techniques of nonlinear analysis. Compared to other introductory books in PDEs, this work clearly explains the transition from classical to generalized solutions and the natural way in which Sobolev spaces appear as completions of spaces of continuously differentiable functions with respect to energetic norms. Also, special attention is paid to the investigation of the solution operators associated to elliptic, parabolic and hyperbolic non-homogeneous equations anticipating the operator approach of nonlinear boundary value problems. Thus the reader is made to understand the role of linear theory for the analysis of nonlinear problems.

Seller Inventory # LU-9783110269048

Bibliographic Details

• Title: Linear and Semilinear Partial Differential Equations
• Publisher: De Gruyter, DE
• Publication Date: 2012
• Language: English
• ISBN 10: 311026904X
• ISBN 13: 9783110269048
• Binding: Hardback
• Condition: New
• Weight: 513 grams

About this title

Synopsis

The text is intended for students who wish a concise and rapid introduction to some main topics in PDEs, necessary for understanding current research, especially in nonlinear PDEs. Organized on three parts, the book guides the reader from fundamental classical results, to some aspects of the modern theory and furthermore, to some techniques of nonlinear analysis. Compared to other introductory books in PDEs, this work clearly explains the transition from classical to generalized solutions and the natural way in which Sobolev spaces appear as completions of spaces of continuously differentiable functions with respect to energetic norms. Also, special attention is paid to the investigation of the solution operators associated to elliptic, parabolic and hyperbolic non-homogeneous equations anticipating the operator approach of nonlinear boundary value problems. Thus the reader is made to understand the role of linear theory for the analysis of nonlinear problems.

About the Author

Radu Precup, Babeş-Bolyai University of Cluj-Napoca, Romania.