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Unique continuation problem on RCD spaces. I - MaRDI portal

Unique continuation problem on RCD spaces. I (Q6149936)

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scientific article; zbMATH DE number 7813351

Language	Label	Description	Also known as
English	Unique continuation problem on RCD spaces. I	scientific article; zbMATH DE number 7813351

Statements

scholarly article

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Unique continuation problem on RCD spaces. I (English)

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Geometriae Dedicata

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publication date

5 March 2024

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full work available at URL

https://arxiv.org/abs/2212.14237

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zbMATH Keywords

RCD spaces

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unique continuation

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heat equation

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MaRDI profile type

MaRDI publication profile

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Riemannian Ricci curvature lower bounds in metric measure spaces with 𝜎-finite measure

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Metric measure spaces with Riemannian Ricci curvature bounded from below

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Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds

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Embedding of \(\mathrm{RCD}^\ast (K,N)\) spaces in \(L^2\) via eigenfunctions

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Nonlinear potential theory on metric spaces

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Boundary regularity and stability for spaces with Ricci bounded below

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Constancy of the Dimension for RCD(<i>K</i>,<i>N</i>) Spaces via Regularity of Lagrangian Flows

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On the structure of spaces with Ricci curvature bounded below. I

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On the structure of spaces with Ricci curvature bounded below. II

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On the structure of spaces with Ricci curvature bounded below. III

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Indeterminacy estimates and the size of nodal sets in singular spaces

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Harmonic functions with polynomial growth

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Harmonic functions on manifolds

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Almost Euclidean Isoperimetric Inequalities in Spaces Satisfying Local Ricci Curvature Lower Bounds

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New formulas for the Laplacian of distance functions and applications

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The globalization theorem for the curvature-dimension condition

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Parabolic Frequency on Manifolds

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Sharp Hölder continuity of tangent cones for spaces with a lower Ricci curvature bound and applications

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Indeterminacy estimates, eigenfunctions and lower bounds on Wasserstein distances

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Non-collapsed spaces with Ricci curvature bounded from below

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On the equivalence of the entropic curvature-dimension condition and Bochner's inequality on metric measure spaces

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On the differential structure of metric measure spaces and applications

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Lectures on nonsmooth differential geometry

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Bakry-Émery conditions on almost smooth metric measure spaces

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Sobolev met Poincaré

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Cones over metric measure spaces and the maximal diameter theorem

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On the topology and the boundary of \(N\)-dimensional \(\mathsf{RCD}\,(K,N)\) spaces

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Sobolev spaces, Laplacian, and heat kernel on Alexandrov spaces

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A uniqueness theorem for parabolic equations

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Ricci curvature for metric-measure spaces via optimal transport

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On Ancient Solutions of the Heat Equation

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Nonunique continuation for uniformly parabolic and elliptic equations in self-adjoint divergence form with Hölder continuous coefficients

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Structure theory of metric measure spaces with lower Ricci curvature bounds

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The Riemannian structure of Alexandrov spaces

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Qnique Continuation for

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Local Poincaré inequalities from stable curvature conditions on metric spaces

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On the geometry of metric measure spaces. I

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On the geometry of metric measure spaces. II

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On local Poincaré via transportation

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Time analyticity of the biharmonic heat equation, the heat equation with potentials and some nonlinear heat equations

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Weyl's law on \(RCD^{\ast} (K, N)\) metric measure spaces

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Identifiers

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S10711-024-00890-7

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Sitelinks

Mathematics(1 entry)

mardi Publication:6149936

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