Some local questions for hyperbolic systems with non-regular time dependent coefficients
DOI10.1142/S0219891617500084zbMath1378.35187arXiv1512.08745OpenAlexW2963694541MaRDI QIDQ5367516
Publication date: 20 October 2017
Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1512.08745
energy estimatesfinite speed of propagationlocal existence and uniquenessevolution of the supportmicrolocal symmetrizability
A priori estimates in context of PDEs (35B45) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Initial value problems for first-order hyperbolic systems (35L45)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hyperbolic systems with analytic coefficients. Well-posedness of the Cauchy problem
- A well-posedness result for hyperbolic operators with Zygmund coefficients
- \(L^2\) well-posed Cauchy problems and symmetrizability of first order systems
- Precise finite speed with bare hands
- Para-differential calculus and applications to the Cauchy problem for nonlinear systems
- Functional analysis, Sobolev spaces and partial differential equations
- Hyperbolic operators with non-Lipschitz ceofficients
- Counterexamples to the well posedness of the Cauchy problem for hyperbolic systems
- Weak observability estimates for 1-D wave equations with rough coefficients
- Fourier Analysis and Nonlinear Partial Differential Equations
- Symmetric positive linear differential equations
- The Well-Posedness Issue in Sobolev Spaces for Hyperbolic Systems with Zygmund-Type Coefficients
- The Cauchy problem for wave equations with non Lipschitz coefficients; Application to continuation of solutions of some nonlinear wave equations
- NECESSARY CONDITIONS FOR THE CAUCHY PROBLEM FOR NON-STRICTLY HYPERBOLIC EQUATIONS TO BE WELL-POSED
- On the Cauchy problem for microlocally symmetrizable hyperbolic systems with log-Lipschitz coefficients
- HYPERBOLIC DOMAINS OF DETERMINACY AND HAMILTON–JACOBI EQUATIONS
- Time-Dependent Loss of Derivatives for Hyperbolic Operators with Non Regular Coefficients
- Symmetric hyperbolic linear differential equations
This page was built for publication: Some local questions for hyperbolic systems with non-regular time dependent coefficients