Harnack inequality for nonlocal operators
Thesis (Ph.D.)--University of Washington, 2024Harnack inequalities are a fundamental property in both probability theory and analysis.The scale-variant Harnack inequalities play an important role in studying various properties, such as the regularity of ...
Meng, Xiangqian
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Double ball property: an overview and the case of step two Carnot groups
Bruno Pini Mathematical Analysis Seminar, 2012 We investigate the notion of the so-called Double Ball Property, which concerns the nonnegative sub-solutions of some differential operators. Thanks to the axiomatic approach developed in [6], this is an important tool in order to solve the Krylov ...
Giulio Tralli
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Asymptotics of the Determinant of Discrete Laplacians on Triangulated and Quadrangulated Surfaces. [PDF]
Commun Math Phys, 2022 Izyurov K, Khristoforov M.
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Potential analysis for a class of diffusion equations: a Gaussian bounds approach
Le Matematiche, 2007 Let H be a linear second order partial differential operator with non-negative characteristic form in a strip S ⊂ R^N ×R. We assume that H as a fundamental solution, smooth out of its poles and bounded from above and from below by Gaussian kernels ...
Ermanno Lanconelli
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Le Matematiche, 2007 We consider a measure valued map α(u) defined on D where D is a subspace of L^p(X,m) with X a locally compact Hausdorff topological space with a distance under which it is a space of homogeneous type.
Marco Biroli, Paola Vernole
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Weak Harnack inequality for the Boltzmann equation without cut-off
, 2017 In this talk, I will present the recent results obtained in collaboration with L. Silvestre (Chicago) about Hölder continuity of solutions of the Boltzmann equation without cut-off under the condition that mass, energy and density are locally bounded and
Imbert, Cyril
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Le Matematiche, 1992 In this paper we deal with a uniformly elliptic operator of the kind: Lu Au + Vu, where the principal part A is in divergence form, and V is a function assumed in a “Kato class”.
Marco Bramanti
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A Novel Blueprint Storyboarding Method Using Digitization for Efficient Cultural Adaptation of Prevention Programs to Serve Diverse Youth and Communities. [PDF]
Prev Sci, 2023 Simenec TS +6 more
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Another proof of the regularity of harmonic maps from a Riemannian manifold to the unit sphere
Electronic Journal of Differential Equations, 2014 We shall consider harmonic maps from $n$-dimensional compact connected Riemannian manifold with boundary to the unit sphere under the Dirichlet boundary condition. We claim that if the Dirichlet data is smooth and so-called "small", all minimizers of
Junichi Aramaki
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Spatial dynamics and optimization method for a rumor propagation model in both homogeneous and heterogeneous environment. [PDF]
Nonlinear Dyn, 2021 Zhu L, Wang X, Zhang Z, Lei C.
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