Analytic Inequalities and Their Applications in PDEs
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.
Presents useful basic analytic inequalities Shows results and techniques in differential equations Describes analytic inequalities categorized with different aimsEmphasizes applications in partial differential equations