New Methods for Local Solvability of Quasilinear Symmetric Hyperbolic Systems

In this work we establish the local solvability of quasilinear symmetric hyperbolic system using local monotonicity method and frequency truncation method. The existence of an optimal control is also proved as an application of these methods.

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Автори: Mohan, Manil T., Sritharan, Sivaguru S.
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Опубліковано: AFIT Scholar 2016
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Онлайн доступ:https://scholar.afit.edu/facpub/463
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author Mohan, Manil T.
Sritharan, Sivaguru S.
author_facet Mohan, Manil T.
Sritharan, Sivaguru S.
author_sort Mohan, Manil T.
building US Air Force Institute of Technology (AFIT)
collection AFIT Scholar
description In this work we establish the local solvability of quasilinear symmetric hyperbolic system using local monotonicity method and frequency truncation method. The existence of an optimal control is also proved as an application of these methods.
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institution US Air Force Institute of Technology
publishDate 2016
publisher AFIT Scholar
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spelling afit-facpub-1472 New Methods for Local Solvability of Quasilinear Symmetric Hyperbolic Systems Mohan, Manil T. Sritharan, Sivaguru S. In this work we establish the local solvability of quasilinear symmetric hyperbolic system using local monotonicity method and frequency truncation method. The existence of an optimal control is also proved as an application of these methods. 2016-06-01T07:00:00Z text https://scholar.afit.edu/facpub/463 info:doi/<a href="https://doi.org/10.3934/eect.2016005">10.3934/eect.2016005</a> Faculty Publications AFIT Scholar 35L60 Minty-Browder Quasilinear symmetric hyperbolic equations Optimal control Local monotonicity Applied Mathematics
spellingShingle 35L60
Minty-Browder
Quasilinear symmetric hyperbolic equations
Optimal control
Local monotonicity
Applied Mathematics
Mohan, Manil T.
Sritharan, Sivaguru S.
New Methods for Local Solvability of Quasilinear Symmetric Hyperbolic Systems
title New Methods for Local Solvability of Quasilinear Symmetric Hyperbolic Systems
title_full New Methods for Local Solvability of Quasilinear Symmetric Hyperbolic Systems
title_fullStr New Methods for Local Solvability of Quasilinear Symmetric Hyperbolic Systems
title_full_unstemmed New Methods for Local Solvability of Quasilinear Symmetric Hyperbolic Systems
title_short New Methods for Local Solvability of Quasilinear Symmetric Hyperbolic Systems
title_sort new methods for local solvability of quasilinear symmetric hyperbolic systems
topic 35L60
Minty-Browder
Quasilinear symmetric hyperbolic equations
Optimal control
Local monotonicity
Applied Mathematics
url https://scholar.afit.edu/facpub/463
work_keys_str_mv AT mohanmanilt newmethodsforlocalsolvabilityofquasilinearsymmetrichyperbolicsystems
AT sritharansivagurus newmethodsforlocalsolvabilityofquasilinearsymmetrichyperbolicsystems