Regularity of solutions to non-uniformly characteristic boundary value problems for symmetric systems

DOI10.1080/03605300008821539zbMath0945.35019OpenAlexW1492287513MaRDI QIDQ4487308

Masahiro Takayama, Tatsuo Nishitani

Publication date: 24 September 2000

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300008821539

zbMATH Keywords

weak solutionregular solutionweighted \(L^2\) apriori estimates

Mathematics Subject Classification ID

Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items

On Global Existence and Regularity of Solutions for a Transport Problem Related to Charged Particles ⋮ Uniform time of existence for the alpha Euler equations ⋮ Regularity of weakly well posed non characteristic boundary value problems ⋮ Regularity of weakly well-posed characteristic boundary value problems ⋮ Stability of the linearized MHD-Maxwell free interface problem ⋮ On a priori energy estimates for characteristic boundary value problems ⋮ REGULARITY OF WEAKLY WELL POSED HYPERBOLIC MIXED PROBLEMS WITH CHARACTERISTIC BOUNDARY ⋮ REGULARITY OF SOLUTIONS TO CHARACTERISTIC INITIAL-BOUNDARY VALUE PROBLEMS FOR SYMMETRIZABLE SYSTEMS

Cites Work

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• Differentiable solutions of symmetrizable and singular symmetric first order systems
• Symmetric positive linear differential equations
• Local boundary conditions for dissipative symmetric linear differential operators