Results 71 to 80 of about 40,833 (232)

NULL CONTROLLABILITY OF DEGENERATE NONAUTONOMOUS PARABOLIC EQUATIONS [PDF]

Facta Universitatis, Series: Mathematics and Informatics, 2019
In this paper we are interested in the study of the null controllability for the one dimensional degenerate non autonomous parabolic equation$$u_{t}-M(t)(a(x)u_{x})_{x}=h\chi_{\omega},\qquad  (x,t)\in Q=(0,1)\times(0,T),$$ where $\omega=(x_{1},x_{2})$ is asmall nonempty open subset in $(0,1)$, $h\in L^{2}(\omega\times(0,T))$, the diffusion coefficients
Benaissa, Abbes, Mezadek, Abdelatif Kainane, Maniar, Lahcen   +2 more
openaire   +1 more source

Well-posedness for a class of nonlinear degenerate parabolic equations

, 2015
In this paper we obtain well-posedness for a class of semilinear weakly degenerate reaction-diffusion systems with Robin boundary conditions. This result is obtained through a Gagliardo-Nirenberg interpolation inequality and some embedding results for ...
A. Bensoussan, E. DiBenedetto, G. Floridia, G. Floridia, G. Floridia, G. Floridia, G. Floridia, H. Brezis, P. Cannarsa, P. Cannarsa, P. Cannarsa   +10 more
core   +1 more source

Relaxation approximations and bounded variation estimates for some partial differential equations

Electronic Journal of Differential Equations, 2002
In this paper, we introduce a new technique for studying solutions of bounded variation for some conservation laws of first order partial differential equations and for some degenerate parabolic equations in multi-dimensional space.
Francisco Caicedo, Yunguang Lu, Mauricio Sepulveda   +2 more
doaj  

Existence of solutions for a degenerate seawater intrusion problem

Electronic Journal of Differential Equations, 2005
We study a seawater intrusion problem in a confined aquifer. This process can be formulated as a coupled system of partial differential equations which includes an elliptic and a degenerate parabolic equation.
Mohamed El Alaoui Talibi, Moulay Hicham Tber   +1 more
doaj  

Direct and inverse problems for linear relations

Bruno Pini Mathematical Analysis Seminar, 2013
Direct and inverse problem related to linear differential inclusions in Banach spaces are studied.The abstract results are applied to degenerate partial dierential equations of parabolic type.
Angelo Favini
doaj  

Rigorous Derivation of the Degenerate Parabolic-Elliptic Keller-Segel System from a Moderately Interacting Stochastic Particle System. Part I Partial Differential Equation [PDF]

, 2023
Li Chen, Veniamin Gvozdik, Yue Li
openalex   +1 more source

Regularity of random attractors for stochastic semilinear degenerate parabolic equations

Electronic Journal of Differential Equations, 2012
We consider the stochastic semilinear degenerate parabolic equation $$ du+[- operatorname{div}(sigma(x)abla u) + f(u) + lambda u]dt = gdt+ sum_{j=1}^{m}h_j{domega_j} $$ in a bounded domain $mathcal{O}subset mathbb {R}^N$, with the nonlinearity ...
Cung The Anh, Tang Quoc Bao, Nguyen Van Thanh   +2 more
doaj  

Cauchy-Dirichlet problem for the nonlinear degenerate parabolic equations

Abstract and Applied Analysis, 2005
We will investigate the nonexistence of positive solutions for the following nonlinear parabolic partial differential equation: ∂u/∂t=ℒu+V(w)up−1 in Ω×(0,T ...
Ismail Kombe
doaj   +1 more source

Rate of convergence of finite-difference approximations for degenerate linear parabolic equations with $C^1$ and $C^2$ coefficients

Electronic Journal of Differential Equations, 2005
We consider degenerate parabolic and elliptic equations of second order with $C^1$ and $C^2$ coefficients. Error bounds for certain types of finite-difference schemes are obtained.
Hongjie Dong, Nicolai V. Krylov
doaj  

Asymptotic Behavior of a Class of Degenerate Parabolic Equations

Abstract and Applied Analysis, 2012
We investigate the asymptotic behavior of solutions of a class of degenerate parabolic equations in a bounded domain () with a polynomial growth nonlinearity of arbitrary order.
Hongtao Li, Shan Ma
doaj   +1 more source