AbstractIn this paper we study the behavior of solutions of some quasilinear parabolic equations of the form (∂u∂t) − ∑i=1n (ddxi) ai(x, t, u, ux) + a(x, t, u, ux)u + f(x, t) = O, as t → ∞. In particular, the solutions of these equations will decay to zero as t → ∞ in the L∞ norm
AbstractThe aim of this paper is to investigate the existence, uniqueness, and asymptotic behavior o...
AbstractWe consider a parabolic partial differential equation ut = uxx + f(u), where − ∞ < x < + ∞ a...
AbstractWe consider a quasilinear parabolic system of the form A(t)|ut|m−2ut−Δu+∫0tg(t−s)Δu(x,s)ds=0...
AbstractIn this paper we study the behavior of solutions of some quasilinear parabolic equations of ...
AbstractSufficient conditions for global nonexistence of solutions of initial value problems for a c...
The parabolic partial differential equation considered is u sub t = u sub xx + f(u), where minus inf...
AbstractWe consider a class of quasilinear parabolic equations whose model is the heat equation corr...
AbstractAsymptotic lower bounds for the L2 norms of solutions of initial-boundary value problems ass...
AbstractWe consider global strong solutions of the quasi-linear evolution equations (1.1) and (1.2) ...
AbstractWe study the convergence and decay rate to equilibrium of bounded solutions of the quasiline...
120pIn this paper, we study the existence and regularity of the quasilinear parabolic equations: $$u...
AbstractThe inhomogeneous Neumann problem for parabolic equations in divergence form is studied. An ...
We consider a class of abstract quasilinear parabolic problems with lower–order terms exhibiting a p...
AbstractThis paper deals with the asymptotic stability of the null solution of a semilinear partial ...
AbstractOf concern is the following quasilinear parabolic equation with nonlinear boundary condition...
AbstractThe aim of this paper is to investigate the existence, uniqueness, and asymptotic behavior o...
AbstractWe consider a parabolic partial differential equation ut = uxx + f(u), where − ∞ < x < + ∞ a...
AbstractWe consider a quasilinear parabolic system of the form A(t)|ut|m−2ut−Δu+∫0tg(t−s)Δu(x,s)ds=0...
AbstractIn this paper we study the behavior of solutions of some quasilinear parabolic equations of ...
AbstractSufficient conditions for global nonexistence of solutions of initial value problems for a c...
The parabolic partial differential equation considered is u sub t = u sub xx + f(u), where minus inf...
AbstractWe consider a class of quasilinear parabolic equations whose model is the heat equation corr...
AbstractAsymptotic lower bounds for the L2 norms of solutions of initial-boundary value problems ass...
AbstractWe consider global strong solutions of the quasi-linear evolution equations (1.1) and (1.2) ...
AbstractWe study the convergence and decay rate to equilibrium of bounded solutions of the quasiline...
120pIn this paper, we study the existence and regularity of the quasilinear parabolic equations: $$u...
AbstractThe inhomogeneous Neumann problem for parabolic equations in divergence form is studied. An ...
We consider a class of abstract quasilinear parabolic problems with lower–order terms exhibiting a p...
AbstractThis paper deals with the asymptotic stability of the null solution of a semilinear partial ...
AbstractOf concern is the following quasilinear parabolic equation with nonlinear boundary condition...
AbstractThe aim of this paper is to investigate the existence, uniqueness, and asymptotic behavior o...
AbstractWe consider a parabolic partial differential equation ut = uxx + f(u), where − ∞ < x < + ∞ a...
AbstractWe consider a quasilinear parabolic system of the form A(t)|ut|m−2ut−Δu+∫0tg(t−s)Δu(x,s)ds=0...