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Stability analysis of the incompressible porous media equation and the Stokes transport system via energy structure. [PDF]
Park J.
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Random Neural Networks for Rough Volatility. [PDF]
Jacquier A, Žurič Ž.
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Varifold solutions to volume-preserving mean curvature flow: existence and weak-strong uniqueness. [PDF]
Poiatti A.
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Globally stable blowup profile for supercritical wave maps in all dimensions. [PDF]
Glogić I.
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New Properties of Holomorphic Sobolev-Hardy Spaces. [PDF]
Gryc W, Lanzani L, Xiong J, Zhang Y.
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A Geometry of Hamiltonian Mechanics. [PDF]
Elgressy G, Horwitz L.
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A generalized radial integration by parts formula and its applications to Caffarelli-Kohn-Nirenberg inequalities. [PDF]
Di Fratta G, Fiorenza A.
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Embeddings of Anisotropic Sobolev Spaces
Archive for Rational Mechanics and Analysis, 1986This paper deals with the approximation and the entropy numbers of the embedding I of an anisotropic Sobolev space \(W^{r,p}(\Omega)\) into an Orlicz space \(L^{\phi}(\Omega)\), where \(\Omega\) is an open subset of \({\mathbb{R}}^ n\).
Edmunds, D. E., Edmunds, R. M.
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Results in Mathematics, 2001
The paper contains the proof that certain \(L^2\)-Sobolev spaces on Riemannian manifolds with bounded curvature of all orders are equivalent. The main idea is to find suitable commutator estimates. Moreover the method is extended to Dirac-type operators.
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The paper contains the proof that certain \(L^2\)-Sobolev spaces on Riemannian manifolds with bounded curvature of all orders are equivalent. The main idea is to find suitable commutator estimates. Moreover the method is extended to Dirac-type operators.
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