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Titlebook: Elliptic and Parabolic Equations; Hannover, September Joachim Escher,Elmar Schrohe,Christoph Walker Conference proceedings 2015 Springer I

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https://doi.org/10.1057/9780230236622rely on a generalized maximum principle which allows gradient estimates in the Riemannian setting to be directly applied to the Bakry–Émery setting. Lower bounds for all eigenvalues are demonstrated using heat kernel estimates and a suitable Sobolev inequality.
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Uniformly Regular and Singular Riemannian Manifolds,e of fundamental importance for a Sobolev space solution theory for parabolic evolution equations on noncompact Riemannian manifolds with and without boundary. Besides pointing out this connection in some detail we present large families of uniformly regular and singular manifolds which are admissible for this analysis.
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Aspects of the Mathematical Analysis of Nonlinear Stratified Water Waves,which is of great physical and geophysical importance. In this chapter, we present an overview of some recently derived rigorous analytical results for nonlinear steady periodic stratified water waves.
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On Bifurcation for Semilinear Elliptic Dirichlet Problems on Shrinking Domains,rom a given (trivial) branch of solutions, where the radius of the ball serves as bifurcation parameter. Our methods are based on well-known results from variational bifurcation theory, which we outline in a separate section for the readers’ convenience.
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978-3-319-38150-3Springer International Publishing Switzerland 2015
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Elliptic and Parabolic Equations978-3-319-12547-3Series ISSN 2194-1009 Series E-ISSN 2194-1017
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