Open AccessNew methods for local solvability of quasilinear symmetric hyperbolic systems
Author(s) -
Manil T. Mohan,
S. S. Sritharan
Publication year - 2016
Publication title -
evolution equations and control theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 19
eISSN - 2163-2480
pISSN - 2163-2472
DOI - 10.3934/eect.2016005
Subject(s) - monotonic function , truncation (statistics) , mathematics , work (physics) , pure mathematics , mathematical analysis , physics , statistics , thermodynamics
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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