Results 11 to 20 of about 724 (89)
On the maximum principle for elliptic operators in weighted spaces
Boundary Value Problems, 2014 We establish a maximum principle for subsolutions of second order elliptic equations. In particular, we consider some linear operators with leading coefficients locally VMO, while the other coefficients and the boundary conditions involve a suitable ...
L. Caso, R. D'Ambrosio
semanticscholar +2 more sources
A strong comparison principle for positive solutions of degenerate elliptic equations
Differential and Integral Equations, 2000 A strong comparison principle (SCP, for brevity) is obtained for nonnegative weak solutions u ∈ W 1,p 0 (Ω) of the following class of quasilinear elliptic boundary value problems, (P ) −div(a(x,∇u))− b(x, u) = f(x) in Ω; u = 0 on ∂Ω. Here, p ∈ (1,∞) is a
M. Cuesta, P. Takáč
semanticscholar +1 more source
Blowing-up solutions of the time-fractional dispersive equations
Advances in Nonlinear Analysis, 2021 This paper is devoted to the study of initial-boundary value problems for time-fractional analogues of Korteweg-de Vries, Benjamin-Bona-Mahony, Burgers, Rosenau, Camassa-Holm, Degasperis-Procesi, Ostrovsky and time-fractional modified Korteweg-de Vries ...
Alsaedi Ahmed +3 more
doaj +1 more source
Ground state solutions for the singular Lane-Emden-Fowler equation with sublinear convection term [PDF]
, 2006 We are concerned with singular elliptic equations of the form $-\Delta u= p(x)(g(u)+ f(u)+|\nabla u|^a)$ in $\RR^N$ ($N\geq 3$), where $p$ is a positive weight and $0< a
Ghergu, Marius, Radulescu, Vicentiu
core +3 more sources
Some maximum principles for solutions of a class of partial differential equations in Ω ⊂ ℝn
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 11, Page 749-751, 2000., 2000 We find maximum principles for solutions of semilinear elliptic partial differential equations of the forms: (1) Δ2u + αf(u) = 0, α ∈ ℝ+ and (2) ΔΔu + α(Δu) k + gu = 0, α ≤ 0 in some region Ω ⊂ ℝn.
Mohammad Mujalli Al-Mahameed
wiley +1 more source
QUENCHING FOR A SEMILINEAR HEAT EQUATION WITH A SINGULAR BOUNDARY OUTFLUX
, 2016 In this paper, we study the quenching behavior of solution of a semilinear heat equation with a singular boundary outflux. We first get a local existence result for this problem.
Burhan Selçuk, N. Ozalp
semanticscholar +1 more source
Maximum principles for parabolic systems coupled in both first‐order and zero‐order terms
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 4, Page 813-816, 1994., 1993 Some generalized maximum principles are established for linear second‐order parabolic systems in which both first‐order and zero‐order terms are coupled.
Chiping Zhou
wiley +1 more source
BLOW-UP FOR DISCRETIZATIONS OF SOME REACTION-DIFFUSION EQUATIONS WITH A NONLINEAR CONVECTION TERM
, 2016 This paper concerns the study of the numerical approximation for the following parabolic equations with a nonlinear convection term ut(x, t) = uxx(x, t) − u (x, t)ux(x, t) + u (x, t), 0 < x < 1, t > 0, ux(0, t) = 0, ux(1, t) = 0, t > 0, u(x, 0 ...
D. Nabongo, N. Koffi, T. K. Augustin
semanticscholar +1 more source
Impulsive nonlocal nonlinear parabolic differential problems
International Journal of Stochastic Analysis, Volume 6, Issue 3, Page 247-260, 1993., 1993 The aim of the paper is to prove a theorem about a weak impulsive nonlinear parabolic differential inequality together with weak impulsive nonlocal nonlinear inequalities. A weak maximum principle for an impulsive nonlinear parabolic differential inequality together with weak impulsive nonlocal nonlinear inequalities and an uniqueness criterion for the
Ludwik Byszewski
wiley +1 more source
Drift perturbation’s influence on traveling wave speed in KPP-Fisher system
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 This paper dressed the drift perturbation effects on the traveling wave speed in a reaction-diffusion system. We prove the existence of a traveling front solution of a KPP-Fisher equation and we show an asymptotic expansion of her speed.
Dkhil Fathi, Mannoubi Bechir
doaj +1 more source