Regularity of the solution of the first initial-boundary value problem for hyperbolic equations in domains with cuspidal points on boundary.
Nguyen Manh Hung, Vu Trong Luong (2009)
Boundary Value Problems [electronic only]
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Displaying similar documents to “Decay of solutions of the elastic wave equation with a localized dissipation”
Regularity of the solution of the first initial-boundary value problem for hyperbolic equations in domains with cuspidal points on boundary.
Unilateral boundary value problems with jump discontinuities.
Halidias, Nikolaos (2003)
International Journal of Mathematics and Mathematical Sciences
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Controllability of a parabolic system with a diffusive interface
Jérôme Le Rousseau, Matthieu Léautaud, Luc Robbiano (2011-2012)
Séminaire Laurent Schwartz — EDP et applications
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We consider a linear parabolic transmission problem across an interface of codimension one in a bounded domain or on a Riemannian manifold, where the transmission conditions involve an additional parabolic operator on the interface. This system is an idealization of a three-layer model in which the central layer has a small thickness . We prove a Carleman estimate in the neighborhood of the interface for an associated elliptic operator by means of partial estimates in several microlocal...
Strichartz estimates for the wave equation on manifolds with boundary
Matthew D. Blair, Hart F. Smith, Christopher D. Sogge (2009)
Annales de l'I.H.P. Analyse non linéaire
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Fuzzy -normed linear space.
Narayanan, Al., Vijayabalaji, S. (2005)
International Journal of Mathematics and Mathematical Sciences
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On the well-posedness and regularity of the wave equation with variable coefficients
Bao-Zhu Guo, Zhi-Xiong Zhang (2007)
ESAIM: Control, Optimisation and Calculus of Variations
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An open-loop system of a multidimensional wave equation with variable coefficients, partial boundary Dirichlet control and collocated observation is considered. It is shown that the system is well-posed in the sense of D. Salamon and regular in the sense of G. Weiss. The Riemannian geometry method is used in the proof of regularity and the feedthrough operator is explicitly computed.
Existence theorems for elliptic hemivariational inequalities involving the -Laplacian.
Kourogenis, Nikolaos C., Papageorgiou, Nikolaos S. (2002)
Abstract and Applied Analysis
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