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|Additional Physical Format:||Online version:
Antont︠s︡ev, S. N. (Stanislav Nikolaevich)
Energy methods for free boundary problems.
Boston : Birkhäuser, c2002
|All Authors / Contributors:||
S N Antont︠s︡ev; J I Díaz; S I Shmarev
|ISBN:||0817641238 9780817641238 3764341238 9783764341237|
|Description:||xi, 329 p. : ill. ; 24 cm.|
|Contents:||1. Localized Solutions of Nonlinear Stationary Problems. 1. Introduction. 2. Second-order elliptic equations. 3. The weighted diffusion/absorption balance. 4. Anisotropic equations: Diffusion/absorption balance. 5. Systems of second-order elliptic equations. 6. Higher-order elliptic equations. 7. Bibliographical notes and open problems --
2. Stabilization in a Finite Time to a Stationary State. 1. Introduction. 2. Second-order parabolic equations. 3. The weighted diffusion-absorption balance. 4. The Cauchy problem. 5. Equations with nonpower and isotropic nonlinearities. 6. Systems of equations of combined type. 7. Higher-order parabolic equations and other applications. 8. Bibliographical notes and open problems
|Series Title:||Progress in nonlinear differential equations and their applications, v. 48.|
|Responsibility:||S.N. Antontsev, J.I. Díaz, S. Shmarev.|
"The book contains some new unpublished results. It will appeal to researchers in partial differential equations, nonlinear analysis, and continuum mechanics." -Zentralblatt Math "... very important