Results 51 to 60 of about 185 (140)
Remark on the analyticity of the fractional Fokker-Planck equation
Advances in Nonlinear AnalysisIn this note, we study the Cauchy problem of the fractional Fokker-Planck equation. We prove that the solution to the Cauchy problem enjoys the analytic smoothing effect with an L2{L}^{2} initial datum for positive time, and the evolution of the analytic
Xu Yan, Yang Keshun, Zhang Jianzhong
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Regularity estimates for fractional orthotropic p-Laplacians of mixed order
Advances in Nonlinear Analysis, 2022 We study robust regularity estimates for a class of nonlinear integro-differential operators with anisotropic and singular kernels. In this paper, we prove a Sobolev-type inequality, a weak Harnack inequality, and a local Hölder estimate.
Chaker Jamil, Kim Minhyun
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, 2020 International audienceThe present paper concerns the well-posedness of the Cauchy problem for microlocally symmetrizable hyperbolic systems whose coefficients and symmetrizer are log-Lipschitz continuous, uniformly in time and space variables.
SANTO, Daniele +10 more
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Partial regularity of stable solutions to the fractional Geľfand-Liouville equation
Advances in Nonlinear Analysis, 2021 We analyze stable weak solutions to the fractional Geľfand ...
Hyder Ali, Yang Wen
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Evolution Equations for the Stefan Problem
, 2015 We study particular kind of Stefan problem and use the theory of abstract quasilinear evolution equations for its solution.
Lukarevski, Martin
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Hölder gradient estimates for a class of singular or degenerate parabolic equations
Advances in Nonlinear Analysis, 2017 We prove interior Hölder estimates for the spatial gradients of the viscosity solutions to the singular or degenerate parabolic ...
Imbert Cyril +2 more
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Inverse positivity for general Robin problems on Lipschitz domains [PDF]
, 2009 . It is proved that elliptic boundary value problems in divergence form can be written in many equivalent forms. This is used to prove regularity properties and maximum principles for problems with Robin boundary conditions with negative or indefinite ...
Daniel Daners
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The higher integrability of weak solutions of porous medium systems
Advances in Nonlinear Analysis, 2018 In this paper we establish that the gradient of weak solutions to porous medium-type systems admits the self-improving property of higher integrability.
Bögelein Verena +3 more
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On the regularity of weak solutions of the Boussinesq equations in Besov spaces
, 2019 The main issue addressed in this paper concerns an extension of a result by Z. Zhang who proved, in the context of the homogeneous Besov spaceḂ −1 ∞,∞ (R 3), that, if the solution of the Boussinesq equation (1.1) below (starting with an initial data in H
Thera, Michel +3 more
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Global and blow up solutions to cross diffusion systems
Advances in Nonlinear Analysis, 2015 Necessary and sufficient conditions for global existence of classical solutions to a class of cross diffusion systems on n-dimensional domains are given. Examples of blow up solutions are also presented.
Ahmad Shair, Le Dung
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