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 : https://doi.org/10.5802/slsedp.101 
@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},
     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://slsedp.centre-mersenne.org/articles/10.5802/slsedp.101/}
}
Laurence Halpern; Jeffrey Rauch. 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. https://slsedp.centre-mersenne.org/articles/10.5802/slsedp.101/

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