Approximation Methods in Optimization of Nonlinear Systems / / Peter I. Kogut, Olga P. Kupenko.
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...
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2019] ©2020 |
Year of Publication: | 2019 |
Language: | English |
Series: | De Gruyter Series in Nonlinear Analysis and Applications ,
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Physical Description: | 1 online resource (XIII, 338 p.) |
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Kogut, Peter I., author. aut http://id.loc.gov/vocabulary/relators/aut Approximation Methods in Optimization of Nonlinear Systems / Peter I. Kogut, Olga P. Kupenko. Berlin ; Boston : De Gruyter, [2019] ©2020 1 online resource (XIII, 338 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Series in Nonlinear Analysis and Applications , 0941-813X ; 32 Frontmatter -- Preface -- Contents -- Introduction -- 1. Optimal Distributed Control Problem for an Ill-Posed Strongly Nonlinear Elliptic Equation with p-Laplace Operator and L1-Type of Nonlinearity -- 2. On Approximation of One Class of Optimal Control Problems for Strongly Nonlinear Elliptic Equations with p-Laplace Operator -- 3. Neumann Boundary Optimal Control Problem for Strongly Nonlinear Elliptic Equation with p-Laplace Operator -- 4. Asymptotic Analysis of Optimal Neumann Boundary Control Problem in Domain with Boundary Oscillation for Elliptic Equation with Exponential Non-Linearity -- 5. On Optimal and Quasi-Optimal Controls in Coefficients for Multi-Dimensional Thermistor Problem with Mixed Dirichlet-Neumann Boundary Conditions -- 6. Approximation of an Optimal Control Problem in Coefficient for Variational Inequality with Anisotropic p-Laplacian -- 7. On Unbounded Optimal Controls in Coefficients for Ill-Posed Elliptic Dirichlet Boundary Value Problems -- 8. On Optimal L1-Control in Coefficients for Quasi-Linear Dirichlet Boundary Value Problem with BMO-Anisotropic p-Laplacian -- Bibliography restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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 Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) Differential equations, Partial. Nichtlineare elliptische Differentialgleichung. Nichtlineare parabolische Differentialgleichung. Optimierungstheorie. MATHEMATICS / Differential Equations / Partial. bisacsh Kupenko, Olga P., author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter DG Ebook Package English 2020 9783110696288 Title is part of eBook package: De Gruyter DG Plus DeG Package 2020 Part 1 9783110696271 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 English 9783110610765 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 9783110664232 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 English 9783110610406 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 9783110606362 ZDB-23-DMA EPUB 9783110668599 print 9783110668438 https://doi.org/10.1515/9783110668520 https://www.degruyter.com/isbn/9783110668520 Cover https://www.degruyter.com/document/cover/isbn/9783110668520/original |
language |
English |
format |
eBook |
author |
Kogut, Peter I., Kogut, Peter I., Kupenko, Olga P., |
spellingShingle |
Kogut, Peter I., Kogut, Peter I., Kupenko, Olga P., Approximation Methods in Optimization of Nonlinear Systems / De Gruyter Series in Nonlinear Analysis and Applications , Frontmatter -- Preface -- Contents -- Introduction -- 1. Optimal Distributed Control Problem for an Ill-Posed Strongly Nonlinear Elliptic Equation with p-Laplace Operator and L1-Type of Nonlinearity -- 2. On Approximation of One Class of Optimal Control Problems for Strongly Nonlinear Elliptic Equations with p-Laplace Operator -- 3. Neumann Boundary Optimal Control Problem for Strongly Nonlinear Elliptic Equation with p-Laplace Operator -- 4. Asymptotic Analysis of Optimal Neumann Boundary Control Problem in Domain with Boundary Oscillation for Elliptic Equation with Exponential Non-Linearity -- 5. On Optimal and Quasi-Optimal Controls in Coefficients for Multi-Dimensional Thermistor Problem with Mixed Dirichlet-Neumann Boundary Conditions -- 6. Approximation of an Optimal Control Problem in Coefficient for Variational Inequality with Anisotropic p-Laplacian -- 7. On Unbounded Optimal Controls in Coefficients for Ill-Posed Elliptic Dirichlet Boundary Value Problems -- 8. On Optimal L1-Control in Coefficients for Quasi-Linear Dirichlet Boundary Value Problem with BMO-Anisotropic p-Laplacian -- Bibliography |
author_facet |
Kogut, Peter I., Kogut, Peter I., Kupenko, Olga P., Kupenko, Olga P., Kupenko, Olga P., |
author_variant |
p i k pi pik p i k pi pik o p k op opk |
author_role |
VerfasserIn VerfasserIn VerfasserIn |
author2 |
Kupenko, Olga P., Kupenko, Olga P., |
author2_variant |
o p k op opk |
author2_role |
VerfasserIn VerfasserIn |
author_sort |
Kogut, Peter I., |
title |
Approximation Methods in Optimization of Nonlinear Systems / |
title_full |
Approximation Methods in Optimization of Nonlinear Systems / Peter I. Kogut, Olga P. Kupenko. |
title_fullStr |
Approximation Methods in Optimization of Nonlinear Systems / Peter I. Kogut, Olga P. Kupenko. |
title_full_unstemmed |
Approximation Methods in Optimization of Nonlinear Systems / Peter I. Kogut, Olga P. Kupenko. |
title_auth |
Approximation Methods in Optimization of Nonlinear Systems / |
title_alt |
Frontmatter -- Preface -- Contents -- Introduction -- 1. Optimal Distributed Control Problem for an Ill-Posed Strongly Nonlinear Elliptic Equation with p-Laplace Operator and L1-Type of Nonlinearity -- 2. On Approximation of One Class of Optimal Control Problems for Strongly Nonlinear Elliptic Equations with p-Laplace Operator -- 3. Neumann Boundary Optimal Control Problem for Strongly Nonlinear Elliptic Equation with p-Laplace Operator -- 4. Asymptotic Analysis of Optimal Neumann Boundary Control Problem in Domain with Boundary Oscillation for Elliptic Equation with Exponential Non-Linearity -- 5. On Optimal and Quasi-Optimal Controls in Coefficients for Multi-Dimensional Thermistor Problem with Mixed Dirichlet-Neumann Boundary Conditions -- 6. Approximation of an Optimal Control Problem in Coefficient for Variational Inequality with Anisotropic p-Laplacian -- 7. On Unbounded Optimal Controls in Coefficients for Ill-Posed Elliptic Dirichlet Boundary Value Problems -- 8. On Optimal L1-Control in Coefficients for Quasi-Linear Dirichlet Boundary Value Problem with BMO-Anisotropic p-Laplacian -- Bibliography |
title_new |
Approximation Methods in Optimization of Nonlinear Systems / |
title_sort |
approximation methods in optimization of nonlinear systems / |
series |
De Gruyter Series in Nonlinear Analysis and Applications , |
series2 |
De Gruyter Series in Nonlinear Analysis and Applications , |
publisher |
De Gruyter, |
publishDate |
2019 |
physical |
1 online resource (XIII, 338 p.) Issued also in print. |
contents |
Frontmatter -- Preface -- Contents -- Introduction -- 1. Optimal Distributed Control Problem for an Ill-Posed Strongly Nonlinear Elliptic Equation with p-Laplace Operator and L1-Type of Nonlinearity -- 2. On Approximation of One Class of Optimal Control Problems for Strongly Nonlinear Elliptic Equations with p-Laplace Operator -- 3. Neumann Boundary Optimal Control Problem for Strongly Nonlinear Elliptic Equation with p-Laplace Operator -- 4. Asymptotic Analysis of Optimal Neumann Boundary Control Problem in Domain with Boundary Oscillation for Elliptic Equation with Exponential Non-Linearity -- 5. On Optimal and Quasi-Optimal Controls in Coefficients for Multi-Dimensional Thermistor Problem with Mixed Dirichlet-Neumann Boundary Conditions -- 6. Approximation of an Optimal Control Problem in Coefficient for Variational Inequality with Anisotropic p-Laplacian -- 7. On Unbounded Optimal Controls in Coefficients for Ill-Posed Elliptic Dirichlet Boundary Value Problems -- 8. On Optimal L1-Control in Coefficients for Quasi-Linear Dirichlet Boundary Value Problem with BMO-Anisotropic p-Laplacian -- Bibliography |
isbn |
9783110668520 9783110696288 9783110696271 9783110610765 9783110664232 9783110610406 9783110606362 9783110668599 9783110668438 |
issn |
0941-813X ; |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA377 |
callnumber-sort |
QA 3377 K585 42020 |
url |
https://doi.org/10.1515/9783110668520 https://www.degruyter.com/isbn/9783110668520 https://www.degruyter.com/document/cover/isbn/9783110668520/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
515 - Analysis |
dewey-full |
515.353 |
dewey-sort |
3515.353 |
dewey-raw |
515.353 |
dewey-search |
515.353 |
doi_str_mv |
10.1515/9783110668520 |
oclc_num |
1135578944 |
work_keys_str_mv |
AT kogutpeteri approximationmethodsinoptimizationofnonlinearsystems AT kupenkoolgap approximationmethodsinoptimizationofnonlinearsystems |
status_str |
n |
ids_txt_mv |
(DE-B1597)532640 (OCoLC)1135578944 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Ebook Package English 2020 Title is part of eBook package: De Gruyter DG Plus DeG Package 2020 Part 1 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 English Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 English Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 |
is_hierarchy_title |
Approximation Methods in Optimization of Nonlinear Systems / |
container_title |
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