AbstractWe consider a parabolic partial differential equation ut = uxx + f(u), where − ∞ < x < + ∞ and 0 < t < + ∞. Under suitable hypotheses pertaining to f, we exhibit a class of initial data φ(x), − ∞ < x < + ∞, for which the corresponding solutions u(x, t) approach zero as t → + ∞. This convergence is uniform with respect to x on any compact subinterval of the real axis
Of concern is the uniformly parabolic problem \begin{equation*} u_t =\dv(\A\nabla u),\qquad u(0,...
This is a continuation, and conclusion, of our study of bounded solutions $u$ of the semilinear para...
AbstractOf concern is the uniformly parabolic problemut=div(A∇u),u(0,x)=f(x),ut+β∂νAu+γu−qβΔLBu=0, f...
AbstractWe consider a parabolic partial differential equation ut = uxx + f(u), where − ∞ < x < + ∞ a...
The parabolic partial differential equation considered is u sub t = u sub xx + f(u), where minus inf...
AbstractWe consider a parabolic partial differential equation ut = uxx + f(u) on a compact interval ...
Suppose that x'(t) + Ax(t) = f(t, x(t)), t ≥ 0 is a semilinear parabolic equation, e-At is bounded a...
AbstractWe study the convergence and decay rate to equilibrium of bounded solutions of the quasiline...
We bound the dierence between solutions u and v of u t = au+ divx f + h and v t = bv + divx g + k w...
AbstractA parabolic equation with hysteresis nonlinearity is studied. It is the purpose of this arti...
AbstractWe bound the difference between solutions u and v of ut=aΔu+divxf+h and vt=bΔv+divxg+k with ...
The semilinear problem (Formula presented) has positive equilibria of the form u(x, t) = C |x|−a for...
Abstract. We prove that solutions of the Cauchy problem for semilinear par-abolic systems converge t...
This paper deals with the initial value problem for a class of degenerate nonlinear parabolic equati...
A distributed optimal control problem for a semilinear parabolic partial differential equation is in...
Of concern is the uniformly parabolic problem \begin{equation*} u_t =\dv(\A\nabla u),\qquad u(0,...
This is a continuation, and conclusion, of our study of bounded solutions $u$ of the semilinear para...
AbstractOf concern is the uniformly parabolic problemut=div(A∇u),u(0,x)=f(x),ut+β∂νAu+γu−qβΔLBu=0, f...
AbstractWe consider a parabolic partial differential equation ut = uxx + f(u), where − ∞ < x < + ∞ a...
The parabolic partial differential equation considered is u sub t = u sub xx + f(u), where minus inf...
AbstractWe consider a parabolic partial differential equation ut = uxx + f(u) on a compact interval ...
Suppose that x'(t) + Ax(t) = f(t, x(t)), t ≥ 0 is a semilinear parabolic equation, e-At is bounded a...
AbstractWe study the convergence and decay rate to equilibrium of bounded solutions of the quasiline...
We bound the dierence between solutions u and v of u t = au+ divx f + h and v t = bv + divx g + k w...
AbstractA parabolic equation with hysteresis nonlinearity is studied. It is the purpose of this arti...
AbstractWe bound the difference between solutions u and v of ut=aΔu+divxf+h and vt=bΔv+divxg+k with ...
The semilinear problem (Formula presented) has positive equilibria of the form u(x, t) = C |x|−a for...
Abstract. We prove that solutions of the Cauchy problem for semilinear par-abolic systems converge t...
This paper deals with the initial value problem for a class of degenerate nonlinear parabolic equati...
A distributed optimal control problem for a semilinear parabolic partial differential equation is in...
Of concern is the uniformly parabolic problem \begin{equation*} u_t =\dv(\A\nabla u),\qquad u(0,...
This is a continuation, and conclusion, of our study of bounded solutions $u$ of the semilinear para...
AbstractOf concern is the uniformly parabolic problemut=div(A∇u),u(0,x)=f(x),ut+β∂νAu+γu−qβΔLBu=0, f...
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