Strictly dissipative boundary value problems at trihedral corners
Laurence Halpern1; Jeffrey Rauch2
1 LAGA, UMR 7539 CNRS, Université Paris 13 93430 Villetaneuse France
2 Department of Mathematics University of Michigan Ann Arbor 48109 MI USA
Séminaire Laurent Schwartz — EDP et applications (2016-2017), Talk no. 11, 10 p.

For time independent symmetric hyperbolic systems with elliptic generators, gluing strictly dissipative boundary conditions at a multihedral corner yields a well posed boundary value problem. Uniqueness of solutions with square integrable boundary traces is proved using the Laplace transform and an H 1/2 regularity theorem.

Published online:
DOI: 10.5802/slsedp.101
Laurence Halpern 1; Jeffrey Rauch 2

1 LAGA, UMR 7539 CNRS, Université Paris 13 93430 Villetaneuse France
2 Department of Mathematics University of Michigan Ann Arbor 48109 MI USA 
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Laurence Halpern; Jeffrey Rauch. Strictly dissipative boundary value problems at trihedral corners. Séminaire Laurent Schwartz — EDP et applications (2016-2017), Talk no. 11, 10 p. doi : 10.5802/slsedp.101. https://slsedp.centre-mersenne.org/articles/10.5802/slsedp.101/

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