Unique continuation problem on RCD spaces. I
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Publication:6149936
DOI10.1007/s10711-024-00890-7arXiv2212.14237OpenAlexW4391836739MaRDI QIDQ6149936
Publication date: 5 March 2024
Published in: Geometriae Dedicata (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2212.14237
Cites Work
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- Local Poincaré inequalities from stable curvature conditions on metric spaces
- Sharp Hölder continuity of tangent cones for spaces with a lower Ricci curvature bound and applications
- Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds
- On the equivalence of the entropic curvature-dimension condition and Bochner's inequality on metric measure spaces
- Nonlinear potential theory on metric spaces
- Harmonic functions on manifolds
- The Riemannian structure of Alexandrov spaces
- On the structure of spaces with Ricci curvature bounded below. I
- Harmonic functions with polynomial growth
- On the structure of spaces with Ricci curvature bounded below. II
- On the structure of spaces with Ricci curvature bounded below. III
- Bakry-Émery conditions on almost smooth metric measure spaces
- Nonunique continuation for uniformly parabolic and elliptic equations in self-adjoint divergence form with Hölder continuous coefficients
- On the topology and the boundary of \(N\)-dimensional \(\mathsf{RCD}\,(K,N)\) spaces
- Indeterminacy estimates and the size of nodal sets in singular spaces
- Boundary regularity and stability for spaces with Ricci bounded below
- Indeterminacy estimates, eigenfunctions and lower bounds on Wasserstein distances
- The globalization theorem for the curvature-dimension condition
- Weyl's law on \(RCD^{\ast} (K, N)\) metric measure spaces
- Lectures on nonsmooth differential geometry
- Cones over metric measure spaces and the maximal diameter theorem
- Ricci curvature for metric-measure spaces via optimal transport
- Structure theory of metric measure spaces with lower Ricci curvature bounds
- Metric measure spaces with Riemannian Ricci curvature bounded from below
- On local Poincaré via transportation
- On the geometry of metric measure spaces. I
- On the geometry of metric measure spaces. II
- New formulas for the Laplacian of distance functions and applications
- Embedding of \(\mathrm{RCD}^\ast (K,N)\) spaces in \(L^2\) via eigenfunctions
- Time analyticity of the biharmonic heat equation, the heat equation with potentials and some nonlinear heat equations
- On the differential structure of metric measure spaces and applications
- A uniqueness theorem for parabolic equations
- Sobolev met Poincaré
- Non-collapsed spaces with Ricci curvature bounded from below
- Qnique Continuation for
- Almost Euclidean Isoperimetric Inequalities in Spaces Satisfying Local Ricci Curvature Lower Bounds
- Parabolic Frequency on Manifolds
- Constancy of the Dimension for RCD(K,N) Spaces via Regularity of Lagrangian Flows
- On Ancient Solutions of the Heat Equation
- Riemannian Ricci curvature lower bounds in metric measure spaces with 𝜎-finite measure
- Sobolev spaces, Laplacian, and heat kernel on Alexandrov spaces
