THE TRACE THEOREMS IN ANISOTROPIC SOBOLEV SPACES AND THEIR APPLICATIONS TO THE CHARACTERISTIC INITIAL BOUNDARY VALUE PROBLEM FOR SYMMETRIC HYPERBOLIC SYSTEMS

DOI10.1142/S0218202595000565zbMath0846.35078OpenAlexW2022621810MaRDI QIDQ4879154

Yasushi Shizuta, Kôzô Yabuta

Publication date: 29 September 1996

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202595000565

zbMATH Keywords

compatibility conditiontrace theoremanisotropic Sobolev spacecharacteristic boundary

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Related Items (7)

Initial boundary value problems for quasilinear symmetric hyperbolic systems with characteristic boundary ⋮ Strong continuity in time of the solution of the mixed problem for symmetric hyperbolic systems ⋮ REGULARITY OF SOLUTIONS TO CHARACTERISTIC INITIAL-BOUNDARY VALUE PROBLEMS FOR SYMMETRIZABLE SYSTEMS ⋮ The existence of current-vortex sheets in ideal compressible magnetohydrodynamics ⋮ On the final form of the regularity theorem for solutions to the characterstic initial boundary value problem for symmetric hyperbolic systems ⋮ Trace theorem in a class of anisotropic Sobolev spaces ⋮ Existence of compressible current-vortex sheets: Variable coefficients linear analysis

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