On hyperbolicity and Gevrey well-posedness. I: The elliptic case
From MaRDI portal
Publication:2220244
DOI10.5802/ahl.59zbMath1459.35271arXiv1611.07225OpenAlexW3096898030MaRDI QIDQ2220244
Publication date: 22 January 2021
Published in: Annales Henri Lebesgue (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1611.07225
Smoothness and regularity of solutions to PDEs (35B65) Ill-posed problems for PDEs (35R25) First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On Landau damping
- On hyperbolicity and Gevrey well-posedness. II: Scalar or degenerate transitions
- Some remarks on the Cauchy problem
- Le problème de Goursat non linéaire
- The Lax-Mizohata theorem for nonlinear gauge invariant equations
- The onset of instability in first-order systems
- Landau damping: paraproducts and Gevrey regularity
- Nonlinear echoes and Landau damping with insufficient regularity
- Basic matrix perturbation theory
- The short-wave limit for nonlinear, symmetric, hyperbolic systems
- THE LAX-MIZOHATA THEOREM FOR NONLINEAR CAUCHY PROBLEMS*
- Well-posedness for the Prandtl system without analyticity or monotonicity
- Instability of the Cauchy-Kovalevskaya solution for a class of nonlinear systems
- On the ill-posedness of the Prandtl equation
- A note on lax-mizohata theorem for quasilinear equations
- The Boltzmann-Grad limit and Cauchy-Kovalevskaya theorem
This page was built for publication: On hyperbolicity and Gevrey well-posedness. I: The elliptic case
