Results 11 to 20 of about 94 (49)
Uniqueness of weak solution for nonlinear elliptic equations in divergence form
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 5, Page 313-318, 2000., 2000 We study the uniqueness of weak solutions for quasilinear elliptic equations in divergence form. Some counterexamples are given to show that our uniqueness result cannot be improved in the general case.
Xu Zhang
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
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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
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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
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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
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
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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
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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
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Quenching Time for Some Semilinear Equations with A Potential
, 2019 This paper concerns the study of a semilinear parabolic equation subject to Neumann boundary conditions, with a potential and positive initial datum. Under some assumptions, we show that the solution of the above problem quenches in a finite time and ...
R. K. Kouakou, F. K. N'Gohisse
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International Journal of Stochastic Analysis, Volume 3, Issue 1, Page 65-79, 1990., 1990 In [4] and [5], the author studied strong maximum principles for nonlinear parabolic problems with initial and nonlocal inequalities, respectively. Our purpose here is to extend results in [4] and [5] to strong maximum principles for nonlinear parabolic problems with nonlocal inequalities together with integrals.
Ludwik Byszewski
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