Ebook: Analytic Inequalities and Their Applications in PDEs
Author: Yuming Qin
- Tags: Differential equations Partial -- Numerical solutions
- Series: Operator Theory: Advances and Applications 241
- Year: 2017
- Publisher: Birkhäuser
- City: Cham
- Edition: 1st ed.
- Language: English
- pdf
This book presents a number of analytic inequalities and their applications in partial differential equations. These include integral inequalities, differential inequalities and difference inequalities, which play a crucial role in establishing (uniform) bounds, global existence, large-time behavior, decay rates and blow-up of solutions to various classes of evolutionary differential equations. Summarizing results from a vast number of literature sources such as published papers, preprints and books, it categorizes inequalities in terms of their different properties
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