Analytic Inequalities And Their Applications In Pdes (operator Theory: Advances And Applications)
by Yuming Qin /
2017 / English / PDF
5.3 MB Download
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.
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.