Results 31 to 40 of about 976 (113)
A system of impulsive degenerate nonlinear parabolic functional‐differential inequalities
International Journal of Stochastic Analysis, Volume 8, Issue 1, Page 59-68, 1995., 1994 A theorem about a system of strong impulsive degenerate nonlinear parabolic functional‐differential inequalities in an arbitrary parabolic set is proved. As a consequence of the theorem, some theorems about impulsive degenerate nonlinear parabolic differential inequalities and the uniqueness of a classical solution of an impulsive degenerate nonlinear ...
Ludwik Byszewski
wiley +1 more source
Journal of Inequalities and Applications, 2014 This work is concerned with positive classical solutions for a quasilinear parabolic equation with a gradient term and nonlinear boundary flux. We find sufficient conditions for the existence of global and blow-up solutions.
Changjun Li, Lu Sun, Z. Fang
semanticscholar +2 more sources
On the parabolic potentials in degenerate‐type heat equation
International Journal of Stochastic Analysis, Volume 4, Issue 2, Page 147-160, 1991., 1991 Using distributions theory technique we introduce parabolic potentials for the heat equation with one time‐dependent coefficient (not everywhere positive and continuous) at the highest space‐derivative, discuss their properties, and apply obtained results to three illustrative problems.
Igor Malyshev
wiley +1 more source
Population Dynamics in Hostile Neighborhoods [PDF]
Rend. Istit. Mat. Univ. Trieste Volume 52 (2020), 27-43, 2020 A new class of quasilinear reaction-diffusion equations is introduced for which the mass flow never reaches the boundary. It is proved that the initial value problem is well-posed in an appropriate weighted Sobolev space setting.
arxiv +1 more source
Asymptotic stability for a symmetric parabolic problem modeling Ohmic heating
Boundary Value Problems, 2014 We consider the asymptotic behavior of the solution of the non-local parabolic equation ut=(κ(u))rr+(κ(u))rr+f(u)(a+2πb∫01f(u)rdr)2, for 00, with a homogeneous Dirichlet boundary condition.
Mingshu Fan, Anyin Xia, Lei Zhang
semanticscholar +2 more sources
Advances in Nonlinear Analysis, 2014 We obtain a new Liouville comparison principle for weak solutions (u,v) of semilinear parabolic second-order partial differential inequalities of the form ut-ℒu-|u|q-1u≥vt-ℒv-|v|q-1v(*)$u_t -{\mathcal {L}}u- |u|^{q-1}u\ge v_t -{\mathcal {L}}v- |v|^{q-1}v\
Kurta Vasilii V.
doaj +1 more source
On the viscosity solutions to a degenerate parabolic differential equation [PDF]
Ann. Mat. Pura Appl., Vol 194, Issue 5 (2015), 1423--1454, 2013 In this work, we study some properties of the viscosity solutions to a degenerate parabolic equation involving the non-homogeneous infinity-Laplacian.
arxiv +1 more source
THE EVOLUTION OF AN ANISOTROPIC HYPERBOLIC SCHRODINGER MAP HEAT FLOW
, 2015 Solution of Schrödinger map heat flow equation with applied field in 2-dimensional H2 space is obtained. Two different methods are used to construct the norm −1 exact solution. The solution admit a finite time singularity or a global smooth property. AMS
P. Zhong
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The global solution of a diffusion equation with nonlinear gradient term
Journal of Inequalities and Applications, 2013 Consider the viscosity solution to the initial boundary value problem of the diffusion equation ut=div(|∇um|p−2∇um)−uq1m|∇um|p1, with p>1, m>0, p1≤2, p>2p1, its initial value u(x,0)=u0(x)∈Lq−1+1m(Ω), 3>q>1 and its boundary ...
Huashui Zhan
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Extinction properties of solutions for a fast diffusion equation with nonlocal source
, 2013 In this paper, we investigate extinction properties of nonnegative nontrivial solutions for an initial boundary value problem of a fast diffusion equation with a nonlocal source in bounded domain.
Z. Fang, Mei Wang
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