On the regularity of boundary traces for the wave equation

Daniel Tataru

Displaying similar documents to “On the regularity of boundary traces for the wave equation”

Propagation of singularities for linear partial differential equations and reflections at a boundary

L. Nirenberg (1975-1976)

Séminaire Équations aux dérivées partielles (Polytechnique)

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Well-posedness and propagation of singularities for initial boundary value problem for second order hyperbolic equation with general boundary condition

G. Eskin (1979-1980)

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Resolvents of boundary problems for pseudo-differential operators without the transmission property

S. Rempel, Bert-Wolfgang Schultze (1982)

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Boundary value problems as limits of problems in all space

J. Rauch (1978-1979)

Séminaire Équations aux dérivées partielles (Polytechnique)

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K. G. Andersson, R. Melrose (1976-1977)

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Microlocal regularity at the boundary for pseudo-differential operators with the transmission property (I)

Maurice De Gosson (1982)

Annales de l'institut Fourier

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This work is devoted to a systematic study of the microlocal regularity properties of pseudo-differential operators with the transmission property. We introduce a “boundary singular spectrum”, denoted $\partial W F_{ω} (u)$ for distributions $u \in D^{'} (R_{+}^{n})$ , regular in the normal variable $x_{n}$ (thus, $\partial W F_{ω} (u) = \emptyset$ means that $u \in \cap_{s + t = 1 / 2} H^{s + t}$ near the boundary), and it is shown that $\partial W F_{ω - m} [P (u^{0})_{x_{n} > 0}]$ is a subset of $\partial W F (u)$ if $P$ has degree $m$ and the transmission property. We finally prove that these results can bef used to examinate the (microlocal) regularity of the solutions...

On a class of initial-boundary value problems in a domain with boundary containing isolated points

H. Marcinkowska (1983)

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The operator $B^{*} L$ for the wave equation with Dirichlet control.

Lasiecka, I., Triggiani, R. (2004)

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