New methods for local solvability of quasilinear symmetric hyperbolic systems

DOI10.3934/eect.2016005zbMath1346.35126OpenAlexW2526367620MaRDI QIDQ317168

Manil T. Mohan, Sivaguru S. Sritharan

Publication date: 30 September 2016

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2016005

zbMATH Keywords

optimal controllocal monotonicitycommutator estimatesMinty-Browderquasilinear symmetric hyperbolic equations

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Existence theories for optimal control problems involving partial differential equations (49J20) Initial value problems for first-order hyperbolic systems (35L45) Abstract hyperbolic equations (35L90)

Related Items (6)

Stochastic non-resistive magnetohydrodynamic system with Lévy noise ⋮ Deterministic and stochastic equations of motion arising in Oldroyd fluids of order one: existence, uniqueness, exponential stability and invariant measures ⋮ Stochastic Navier–Stokes equations perturbed by Lévy noise with hereditary viscosity ⋮ Frequency truncation method for quasilinear symmetrizable hyperbolic systems ⋮ Stochastic Euler equations of fluid dynamics with Lévy noise ⋮ On the three dimensional Kelvin-Voigt fluids: global solvability, exponential stability and exact controllability of Galerkin approximations

Cites Work

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