Analytic Inequalities and Their Applications in PDEs
| By: | Yuming Qin |
| Publisher: | Springer Nature |
| Print ISBN: | 9783319008301 |
| eText ISBN: | 9783319008318 |
| Edition: | 0 |
| Copyright: | 2017 |
| Format: | Page Fidelity |
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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.