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book: Approximation Methods in Optimization of Nonlinear Systems
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Approximation Methods in Optimization of Nonlinear Systems

  • Peter I. Kogut and Olga P. Kupenko
Language: English
Published/Copyright: 2020
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De Gruyter Series in Nonlinear Analysis and Applications

About this book

The monograph addresses some problems particularly with regard to ill-posedness of boundary value problems and problems where we cannot expect to have uniqueness of their solutions in the standard functional spaces. Bringing original and previous results together, it tackles computational challenges by exploiting methods of approximation and asymptotic analysis and harnessing differences between optimal control problems and their underlying PDEs

Renowned Authors

Author / Editor information

Peter I. Kogut, Dnipro, Ukraine

Ohla P. Kupenko, Dnipro, Ukraine

Topics

Frontmatter

Publicly Available Download PDF 		I
Preface

Publicly Available Download PDF 		VII
Contents

Publicly Available Download PDF 		XI
Introduction

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Licensed 		1
1. Optimal Distributed Control Problem for an Ill-Posed Strongly Nonlinear Elliptic Equation with p-Laplace Operator and L1-Type of Nonlinearity

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Licensed 		11
2. On Approximation of One Class of Optimal Control Problems for Strongly Nonlinear Elliptic Equations with p-Laplace Operator

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Licensed 		39
3. Neumann Boundary Optimal Control Problem for Strongly Nonlinear Elliptic Equation with p-Laplace Operator

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Licensed 		73
4. Asymptotic Analysis of Optimal Neumann Boundary Control Problem in Domain with Boundary Oscillation for Elliptic Equation with Exponential Non-Linearity

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Licensed 		116
5. On Optimal and Quasi-Optimal Controls in Coefficients for Multi-Dimensional Thermistor Problem with Mixed Dirichlet-Neumann Boundary Conditions

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Licensed 		164
6. Approximation of an Optimal Control Problem in Coefficient for Variational Inequality with Anisotropic p-Laplacian

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Licensed 		211
7. On Unbounded Optimal Controls in Coefficients for Ill-Posed Elliptic Dirichlet Boundary Value Problems

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8. On Optimal L1-Control in Coefficients for Quasi-Linear Dirichlet Boundary Value Problem with BMO-Anisotropic p-Laplacian

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Bibliography

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Publishing information
Pages and Images/Illustrations in book
eBook published on:
December 2, 2019
eBook ISBN:
9783110668520
Hardcover published on:
December 2, 2019
Hardcover ISBN:
9783110668438
Pages and Images/Illustrations in book
Front matter:
13
Main content:
338
Illustrations:
1
https://doi.org/10.1515/9783110668520
eBook ISBN: 9783110668520
Hardcover ISBN: 9783110668438
Keywords for this book
Optimierungstheorie; Nichtlineare elliptische Differentialgleichung; Nichtlineare parabolische Differentialgleichung
Audience(s) for this book
Researchers and graduate students
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