Partial Differential Inequalities with Nonlinear Convolution Terms (eBook, PDF)

This is a very interesting, brief companion book for anyone interested in nonlocal convolutional operators, including weakly nonlocal diffusion operators, and partial differential inequalities. ... the exposition is very well organized with numerous references supplied, many pertaining to further interesting and engaging problems. (Joseph L. Shomberg, Mathematical Reviews, April, 2025)

This book is a self-contained study of partial differential inequalities with nonlinear convolution terms approached by modern mathematical methods. The motivation of this work is to illustrate how techniques including a priori estimates, Harnack inequalities and integral representation of solutions are used to this type of inequalities . This book includes in a unitary presentation some author s original research published in the last few years on the topic . (Gabriela Marinoschi, zbMATH 1542.35001, 2024)