Partial Differential Inequalities with Nonlinear Convolution Terms

By:

Marius Ghergu

Format:

Paperback / softback

Series:

Springerbriefs in Mathematics

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Description

This brief research monograph uses modern mathematical methods to investigate partial differential equations with nonlinear convolution terms, enabling readers to understand the concept of a solution and its asymptotic behavior. In their full generality, these inequalities display a non-local structure. Classical methods, such as maximum principle or sub- and super-solution methods, do not apply to this context. This work discusses partial differential inequalities (instead of differential equations) for which there is no variational setting. This current work brings forward other methods that prove to be useful in understanding the concept of a solution and its asymptotic behavior related to partial differential inequalities with nonlinear convolution terms. It promotes and illustrates the use of a priori estimates, Harnack inequalities, and integral representation of solutions. One of the first monographs on this rapidly expanding field, the presentwork appeals to graduate and postgraduate students as well as to researchers in the field of partial differential equations and nonlinear analysis.

Author Biography:

Marius Ghergu earned a PhD in Mathematics at Université de Savoie in France and is currently an Associate Professor in the School of Mathematics and Statistics, University College Dublin, Ireland. He has conducted research and published on nonlinear partial differential equations which model real life phenomena.

Release date NZ

January 2nd, 2023

Author

Marius Ghergu

Audience

Professional & Vocational

Edition

1st ed. 2022

Illustrations

5 Illustrations, black and white; VIII, 136 p. 5 illus.

Pages

136

Series

Springerbriefs in Mathematics

ISBN-13

9783031218552

Product ID

36052373

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