Описание: Devoted to the solvability theory of characteristic singular integral equations and corresponding boundary value problems for analytic functions with a Carleman and non-Carleman shift. This title discusses the applications to mechanics, physics, and geometry of surfaces. It also contains a survey of the literature on closely related topics.
Many of the operators one meets in several complex variables, such as the famous Lewy operator, are not locally solvable. Nevertheless, such an operator L can be thoroughly studied if one can find a suitable relative parametrix--an operator K such that LK is essentially the orthogonal projection onto the range of L. The analysis is by far most decisive if one is able to work in the real analytic, as opposed to the smooth, setting. With this motivation, the author develops an analytic calculus for the Heisenberg group. Features include: simple, explicit formulae for products and adjoints; simple representation-theoretic conditions, analogous to ellipticity, for finding parametrices in the calculus; invariance under analytic contact transformations; regularity with respect to non-isotropic Sobolev and Lipschitz spaces; and preservation of local analyticity. The calculus is suitable for doing analysis on real analytic strictly pseudoconvex CR manifolds. In this context, the main new application is a proof that the Szego projection preserves local analyticity, even in the three-dimensional setting. Relative analytic parametrices are also constructed for the adjoint of the tangential Cauchy-Riemann operator.
Originally published in 1990.
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Описание: Reports on results about various boundary value problems for partial differential equations and functional equations, theory and methods of integral equations and integral operators including singular integral equations, and applications of boundary value problems and integral equations to mechanics and physics, among others.
Описание: Part of the "CISM International Centre for Mechanical Sciences", this work covers a wide range of research topics in the field of dynamical systems and applications of non-linear analysis to ordinary and partial differential equations.
Описание: This volume gathers contributions in the field of partial differential equations, with a focus on mathematical models in phase transitions, complex fluids and thermomechanics.
Автор: Li Xing Название: Integral Equations, Boundary Value Problems and Related Problems ISBN: 9814452874 ISBN-13(EAN): 9789814452878 Издательство: World Scientific Publishing Рейтинг: Цена: 18216.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In this volume, we report new results about various theories and methods of integral equation, boundary value problems for partial differential equations and functional equations, and integral operators including singular integral equations, applications of boundary value problems and integral equations to mechanics and physics, numerical methods of integral equations and boundary value problems, theories and methods for inverse problems of mathematical physics, Clifford analysis and related problems.
Описание: With parallel treatment of smooth and non-smooth problems, this text on non-linear boundary value problems and related analysis has new material on Neumann problems involving non-homogeneous differential operators, seen here for the first time in book form.
Автор: Viorel Barbu Название: Partial Differential Equations and Boundary Value Problems ISBN: 0792350561 ISBN-13(EAN): 9780792350569 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Concerned with a few basic results in the classical and modern theory of boundary value problems for elliptic, parabolic and wave equations. This title emphasises on understanding the main results of the field, along with a few classical and modern methods. It presents topics such as the maximum principle and potentials.
Автор: Eloe Paul W Et Al Название: Nonlinear Interpolation And Boundary Value Problems ISBN: 9814733474 ISBN-13(EAN): 9789814733472 Издательство: World Scientific Publishing Рейтинг: Цена: 13939.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is devoted to the study of boundary value problems for nonlinear ordinary differential equations and focuses on questions related to the study of nonlinear interpolation.
Описание: Presents an account of the theory of right focal point boundary value problems for differential and difference equations. This book includes topics such as existence and uniqueness, Picard`s method, quasilinearisation, necessary and sufficient conditions for right disfocality, right and eventual disfocalities, and Green`s functions.
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