Results 31 to 40 of about 221 (45)
On a singular heat equation with dynamic boundary conditions
, 2015 In this paper we analyze a nonlinear parabolic equation characterized by a singular diffusion term describing very fast diffusion effects. The equation is settled in a smooth bounded three-dimensional domain and complemented with a general boundary ...
Alikakos +16 more
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The Yamabe flow on incomplete manifolds
, 2017 This article is concerned with developing an analytic theory for second order nonlinear parabolic equations on singular manifolds. Existence and uniqueness of solutions in an Lp-framework is established by maximal regularity tools.
Shao, Yuanzhen
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Advances in Nonlinear AnalysisWe consider the homogeneous Dirichlet problem for the parabolic equation ut−div(∣∇u∣p(x,t)−2∇u)=f(x,t)+F(x,t,u,∇u){u}_{t}-{\rm{div}}({| \nabla u| }^{p\left(x,t)-2}\nabla u)=f\left(x,t)+F\left(x,t,u,\nabla u) in the cylinder QT≔Ω×(0,T){Q}_{T}:= \Omega ...
Arora Rakesh, Shmarev Sergey
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Initial value problems for diffusion equations with singular potential [PDF]
, 2012 Let $V$ be a nonnegative locally bounded function defined in $Q_\infty:=\BBR^n\times(0,\infty)$. We study under what conditions on $V$ and on a Radon measure $\gm$ in $\mathbb{R}^d$ does it exist a function which satisfies $\partial_t u-\xD u+ Vu=0$ in ...
Gkikas, Konstantinos, Veron, Laurent
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Total variation denoising in $l^1$ anisotropy
, 2017 We aim at constructing solutions to the minimizing problem for the variant of Rudin-Osher-Fatemi denoising model with rectilinear anisotropy and to the gradient flow of its underlying anisotropic total variation functional.
Berkels B. +5 more
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A critical non-homogeneous heat equation with weighted source
European Journal of Applied MathematicsSome qualitative properties of radially symmetric solutions to the non-homogeneous heat equation with critical density and weighted source \begin{align*} |x|^{-2}\partial _tu=\Delta u+|x|^{\sigma }u^p, \quad (x,t)\in {\mathbb {R}}^N\times (0,T), \end ...
Razvan Gabriel Iagar, Ariel Sánchez
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Classification of local asymptotics for solutions to heat equations with inverse-square potentials [PDF]
, 2010 Asymptotic behavior of solutions to heat equations with spatially singular inverse-square potentials is studied. By combining a parabolic Almgren type monotonicity formula with blow-up methods, we evaluate the exact behavior near the singularity of ...
Felli, Veronica, Primo, Ana
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Integrability of the derivative of solutions to a singular one-dimensional parabolic problem
, 2017 We study integrability of the derivative of solutions to a singular one-dimensional parabolic equation with initial data in $W^{1,1}$. In order to avoid additional difficulties we consider only the periodic boundary conditions.
Nakayasu, Atsushi, Rybka, Piotr
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Quenching phenomenon of singular parabolic problems with L1 initial data [PDF]
, 2016 We extend some previous existence results for quenching type parabolic problems involving a negative power of the unknown in the equation to the case of merely integrable initial data.
Dao, A.N. +2 more
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Estimates for the large time behavior of the Landau equation in the Coulomb case [PDF]
, 2015 This work deals with the large time behaviour of the spatially homogeneous Landau equation with Coulomb potential. Firstly, we obtain a bound from below of the entropy dissipation $D(f)$ by a weighted relative Fisher information of $f$ with respect to ...
Carrapatoso, Kleber +2 more
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