Qualitative Theory of Parabolic Equations - Couverture rigide

Zelenyak, T. I.; Vishnevskii, M. P.; Lavrentiev, M. M.

Couverture rigide

ISBN 10 : 9067642363 ISBN 13 : 9789067642361

Editeur : VSP International Science Publishers, 1997

Synopsis

01/07 This title is now available from Walter de Gruyter. Please see www.degruyter.com for more information. 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.

Détails de l'édition

• Éditeur: VSP International Science Publishers
• Date d'édition: 1997
• Langue: anglais
• ISBN 10: 9067642363
• ISBN 13: 9789067642361
• Reliure: Relié
• Nombre de pages: 421
• Coordonnées du fabricant: non disponible
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