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Author:
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Languages : en
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Languages : en
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Author: János Engländer
Publisher:
ISBN:
Category :
Languages : en
Pages : 41
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Book Description
Author: Claude Le Bris
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110633140
Category : Mathematics
Languages : en
Pages : 264
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Book Description
This book studies the existence and uniqueness of solutions to parabolic-type equations with irregular coefficients and/or initial conditions. It elaborates on the DiPerna-Lions theory of renormalized solutions to linear transport equations and related equations, and also examines the connection between the results on the partial differential equation and the well-posedness of the underlying stochastic/ordinary differential equation.
Author: Seonghak Kim
Publisher:
ISBN: 9781321928518
Category : Electronic dissertations
Languages : en
Pages : 119
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Author: Lucio Boccardo
Publisher: Longman Publishing Group
ISBN:
Category : Mathematics
Languages : en
Pages : 252
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Book Description
Author: L. E. Payne
Publisher: SIAM
ISBN: 0898710197
Category : Mathematics
Languages : en
Pages : 81
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Book Description
A discussion of improperly posed Cauchy problems in partial differential equations
Author: A. Asanov
Publisher: VSP
ISBN: 9789067642354
Category : Mathematics
Languages : en
Pages : 172
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Book Description
Author: Tadeĭ Ivanovich Zeleni︠a︡k
Publisher: VSP
ISBN: 9789067642361
Category : Mathematics
Languages : en
Pages : 432
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Book Description
In the qualitative theory of ordinary differential equations, the Liapunov method plays a fundamental role. To use their analogs for the analysis of stability of solutions to parabolic, hyperparabolic, and other nonclassical equations and systems, time-invariant a priori estimates have to be devised for solutions. In this publication only parabolic problems are considered. Here lie, mainly, the problems which have been investigated most thoroughly --- the construction of Liapunov functionals which naturally generalize Liapunov functions for nonlinear parabolic equations of the second order with one spatial variable. The authors establish stabilizing solutions theorems, and the necessary and sufficient conditions of general and asymptotic stability of stationary solutions, including the so-called critical case. Attraction domains for stable solutions of mixed problems for these equations are described. Furthermore, estimates for the number of stationary solutions are obtained.
Author: Victor A. Galaktionov
Publisher: CRC Press
ISBN: 1482251736
Category : Mathematics
Languages : en
Pages : 565
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Book Description
Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations shows how four types of higher-order nonlinear evolution partial differential equations (PDEs) have many commonalities through their special quasilinear degenerate representations. The authors present a unified approach to deal with these quasilinear PDEs.The book
Author: Emmanuele DiBenedetto
Publisher: Springer Science & Business Media
ISBN: 9780387940205
Category : Mathematics
Languages : en
Pages : 412
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Book Description
Evolved from the author's lectures at the University of Bonn's Institut für angewandte Mathematik, this book reviews recent progress toward understanding of the local structure of solutions of degenerate and singular parabolic partial differential equations.
