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7. On Unbounded Optimal Controls in Coefficients for Ill-Posed Elliptic Dirichlet Boundary Value Problems
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Peter I. Kogut
and Olha P. Kupenko
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Chapters in this book
- Frontmatter I
- Preface VII
- Contents XI
- Introduction 1
- 1. Optimal Distributed Control Problem for an Ill-Posed Strongly Nonlinear Elliptic Equation with p-Laplace Operator and L1-Type of Nonlinearity 11
- 2. On Approximation of One Class of Optimal Control Problems for Strongly Nonlinear Elliptic Equations with p-Laplace Operator 39
- 3. Neumann Boundary Optimal Control Problem for Strongly Nonlinear Elliptic Equation with p-Laplace Operator 73
- 4. Asymptotic Analysis of Optimal Neumann Boundary Control Problem in Domain with Boundary Oscillation for Elliptic Equation with Exponential Non-Linearity 116
- 5. On Optimal and Quasi-Optimal Controls in Coefficients for Multi-Dimensional Thermistor Problem with Mixed Dirichlet-Neumann Boundary Conditions 164
- 6. Approximation of an Optimal Control Problem in Coefficient for Variational Inequality with Anisotropic p-Laplacian 211
- 7. On Unbounded Optimal Controls in Coefficients for Ill-Posed Elliptic Dirichlet Boundary Value Problems 226
- 8. On Optimal L1-Control in Coefficients for Quasi-Linear Dirichlet Boundary Value Problem with BMO-Anisotropic p-Laplacian 294
- Bibliography 331
Chapters in this book
- Frontmatter I
- Preface VII
- Contents XI
- Introduction 1
- 1. Optimal Distributed Control Problem for an Ill-Posed Strongly Nonlinear Elliptic Equation with p-Laplace Operator and L1-Type of Nonlinearity 11
- 2. On Approximation of One Class of Optimal Control Problems for Strongly Nonlinear Elliptic Equations with p-Laplace Operator 39
- 3. Neumann Boundary Optimal Control Problem for Strongly Nonlinear Elliptic Equation with p-Laplace Operator 73
- 4. Asymptotic Analysis of Optimal Neumann Boundary Control Problem in Domain with Boundary Oscillation for Elliptic Equation with Exponential Non-Linearity 116
- 5. On Optimal and Quasi-Optimal Controls in Coefficients for Multi-Dimensional Thermistor Problem with Mixed Dirichlet-Neumann Boundary Conditions 164
- 6. Approximation of an Optimal Control Problem in Coefficient for Variational Inequality with Anisotropic p-Laplacian 211
- 7. On Unbounded Optimal Controls in Coefficients for Ill-Posed Elliptic Dirichlet Boundary Value Problems 226
- 8. On Optimal L1-Control in Coefficients for Quasi-Linear Dirichlet Boundary Value Problem with BMO-Anisotropic p-Laplacian 294
- Bibliography 331