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 regularity theorem.
@article{SLSEDP_2016-2017____A11_0, author = {Laurence Halpern and Jeffrey Rauch}, title = {Strictly dissipative boundary value problems at trihedral corners}, journal = {S\'eminaire Laurent Schwartz {\textemdash} EDP et applications}, note = {talk:11}, pages = {1--10}, publisher = {Institut des hautes \'etudes scientifiques & Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique}, year = {2016-2017}, doi = {10.5802/slsedp.101}, language = {en}, url = {https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.101/} }
TY - JOUR AU - Laurence Halpern AU - Jeffrey Rauch TI - Strictly dissipative boundary value problems at trihedral corners JO - Séminaire Laurent Schwartz — EDP et applications N1 - talk:11 PY - 2016-2017 SP - 1 EP - 10 PB - Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique UR - https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.101/ DO - 10.5802/slsedp.101 LA - en ID - SLSEDP_2016-2017____A11_0 ER -
%0 Journal Article %A Laurence Halpern %A Jeffrey Rauch %T Strictly dissipative boundary value problems at trihedral corners %J Séminaire Laurent Schwartz — EDP et applications %Z talk:11 %D 2016-2017 %P 1-10 %I Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique %U https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.101/ %R 10.5802/slsedp.101 %G en %F SLSEDP_2016-2017____A11_0
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://proceedings.centre-mersenne.org/articles/10.5802/slsedp.101/
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