Singularly Perturbed Boundary-Value Problems

By: Luminita Barbu, Gheorghe Morosanu

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Hardcover | 16 May 2007

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252 Pages

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23.5 x 17.15 x 1.27

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This book offers a detailed asymptotic analysis of some important classes of singularly perturbed boundary value problems which are mathematical models for phenomena in biology, chemistry, and engineering. The authors are particularly interested in nonlinear problems, which have gone little-examined so far in literature dedicated to singular perturbations. The treatment presented here combines successful results from functional analysis, singular perturbation theory, partial differential equations, and evolution equations.

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You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Functional Analysis & Transforms Reference, Information & Interdisciplinary Subjects Research & Information Information theory Cybernetics & Systems Theory Differential Calculus & Equations

Preliminaries
Regular and singular perturbations
Evolution equations in Hilbert spaces
Singularly perturbed hyperbolic problems
Presentation of the problems
Hyperbolic systems with algebraic boundary conditions
Hyperbolic systems with dynamic boundary conditions
Singularly perturbed coupled boundary value problems
Presentation of the problems
The stationary case
The evolutionary case
Elliptic and hyperbolic regularizations of parabolic problems
Presentation of the problems
The linear case
The nonlinear case
Table of Contents provided by Blackwell. All Rights Reserved.

Singularly Perturbed Boundary-Value Problems

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Hardcover

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