A Stability Technique for Evolution Partial Differential Equations : A Dynamical Systems Approach
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The work A Stability Technique for Evolution Partial Differential Equations : A Dynamical Systems Approach represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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A Stability Technique for Evolution Partial Differential Equations : A Dynamical Systems Approach
Resource Information
The work A Stability Technique for Evolution Partial Differential Equations : A Dynamical Systems Approach represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 A Stability Technique for Evolution Partial Differential Equations : A Dynamical Systems Approach
 Title remainder
 A Dynamical Systems Approach
 Statement of responsibility
 by Victor A. Galaktionov, Juan Luis Vázquez
 Language

 eng
 eng
 Summary
 common feature is that these evolution problems can be formulated as asymptoti cally small perturbations of certain dynamical systems with betterknown behaviour. Now, it usually happens that the perturbation is small in a very weak sense, hence the difficulty (or impossibility) of applying more classical techniques. Though the method originated with the analysis of critical behaviour for evolu tion PDEs, in its abstract formulation it deals with a nonautonomous abstract differ ential equation (NDE) (1) Ut = A(u) + C(u, t), t > 0, where u has values in a Banach space, like an LP space, A is an autonomous (timeindependent) operator and C is an asymptotically small perturbation, so that C(u(t), t) ~ ° as t ~ 00 along orbits {u(t)} of the evolution in a sense to be made precise, which in practice can be quite weak. We work in a situation in which the autonomous (limit) differential equation (ADE) Ut = A(u) (2) has a wellknown asymptotic behaviour, and we want to prove that for large times the orbits of the original evolution problem converge to a certain class of limits of the autonomous equation. More precisely, we want to prove that the orbits of (NDE) are attracted by a certain limit set [2* of (ADE), which may consist of equilibria of the autonomous equation, or it can be a more complicated object
 Dewey number
 515.353
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut

 8oSqLadZ_SQ
 n1LiqZEdZWA
 Image bit depth
 0
 Language note
 English
 LC call number
 QA370380
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Progress in Nonlinear Differential Equations and Their Applications,
 Series volume
 56
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