A lower bound on local energy of partial sum of eigenfunctions for Laplace-Beltrami operators

Qi Lü

Displaying similar documents to “A lower bound on local energy of partial sum of eigenfunctions for Laplace-Beltrami operators”

Comparison of Dirac operators on manifolds with

Bunke, Ulrich

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The author introduces boundary conditions for Dirac operators $D$ giving selfadjoint extensions such that the Hamiltonians $H = D^{2}$ define elliptic operators. Using finite propagation speed methods and assuming bounded geometry he estimates the trace of the difference of two heat operators $e^{- t H}$ associated to a pair of Dirac operators coinciding on cocompact sets.

Best possible estimates of solutions to the transmission problem for the Laplace operator with N different media in a conical domain

Mikhail Borsuk (2007)

Applicationes Mathematicae

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We investigate the behavior of weak solutions to the transmission problem for the Laplace operator with N different media in a neighborhood of a boundary conical point. We establish a precise exponent of the decreasing rate of the solution.

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

S. Rempel, Bert-Wolfgang Schultze (1982)

Journées équations aux dérivées partielles

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Theoretical foundation of the weighted Laplace inpainting problem

Laurent Hoeltgen, Andreas Kleefeld, Isaac Harris, Michael Breuss (2019)

Applications of Mathematics

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Laplace interpolation is a popular approach in image inpainting using partial differential equations. The classic approach considers the Laplace equation with mixed boundary conditions. Recently a more general formulation has been proposed, where the differential operator consists of a point-wise convex combination of the Laplacian and the known image data. We provide the first detailed analysis on existence and uniqueness of solutions for the arising mixed boundary value problem. Our...

Nonlocal elliptic boundary value problems

Martin Schechter (1966)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Boundary value problems for linear differential equations of operators

I. E. Sharkawi (1977)

Matematički Vesnik

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Recent progress on the boundary rigidity problem.

Stefanov, Plamen, Uhlmann, Gunther (2005)

Electronic Research Announcements of the American Mathematical Society [electronic only]

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On the regularity of boundary traces for the wave equation

Daniel Tataru (1998)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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A calculus for a class of finitely degenerate pseudodifferential operators

Ingo Witt (2003)

Banach Center Publications

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For a class of degenerate pseudodifferential operators, local parametrices are constructed. This is done in the framework of a pseudodifferential calculus upon adding conditions of trace and potential type, respectively, along the boundary on which the operators degenerate.