Strictly dissipative boundary value problems at trihedral corners
Séminaire Laurent Schwartz — EDP et applications (2016-2017), Exposé 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.

Publié le :
DOI : 10.5802/slsedp.101
Halpern, Laurence 1 ; Rauch, Jeffrey 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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Halpern, Laurence; Rauch, Jeffrey. Strictly dissipative boundary value problems at trihedral corners. Séminaire Laurent Schwartz — EDP et applications (2016-2017), Exposé no. 11, 10 p. doi : 10.5802/slsedp.101. http://archive.numdam.org/articles/10.5802/slsedp.101/

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