Differential Operations Of Infinite Order With Real Arguments And Their Applications

This book is devoted to the theory of infinite-order linear and nonlinear differential operators with several real arguments and their applications to problems of partial differential equations and numerical analysis.Part I develops the theory of pseudodifferential operators with real analytic symbols, the local representatives of which are linear differential operators of infinite order acting in the spaces of basic and generalized functions based on the duality of the spaces of real analytic functions and functionals.\n\nApplications to a variety of problems of PDEs and numerical analysis are given. Part II is devoted to the theory of Sobolev-Orlicz spaces of infinite order and the solvability of nonlinear partial differential equations with arbitrary nonlinearities.Differential Operations Of Infinite Order With Real Arguments And Their Applications is written by Hao Dinh Nho and published by World Scientific. ISBNs for Differential Operations Of Infinite Order With Real Arguments And Their Applications are 9789814354257, 9814354252 and the print ISBNs are 9789810216115, 9810216114.