Description

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. Applications 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

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Hardback by Dinh Nho Hao , Tran Duc Van

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This book is devoted to the theory of infinite-order linear and nonlinear differential operators with several real arguments and their... Read more

    Publisher: World Scientific Publishing Co Pte Ltd
    Publication Date: 01/04/1994
    ISBN13: 9789810216115, 978-9810216115
    ISBN10: 9810216114

    Number of Pages: 248

    Non Fiction , Technology, Engineering & Agriculture , Education

    Description

    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. Applications 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.

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