Add to ORKGWe bound the dierence between solutions u and v of u t = au+ divx f + h and v t = bv + divx g + k with initial data ' and , respectively, by ku(t; ) v(t; )k L p (E) AE (t)k' k L 1 (R n ) +B(t)(ka bk1 +krx f rx gk1 + kfu guk1 + kh kk1 ) p jEj . Here all functions a, f , and h are smooth and bounded, and may depend on u, x 2 R , and t. The functions a and h may in addition depend on ru. Identical assumptions hold for the functions that determine the solutions v. Furthermore, E R is assumed to be a bounded set, and p and p are fractions that depend on n and p. The diusion coecients a and b are assumed to be strictly positive and the initial data are smooth. 1
In this paper we consider a parabolic equation with a periodic boundary condition and we prove the s...
AbstractOf concern is the following quasilinear parabolic equation with nonlinear boundary condition...
Abstract. We consider the problem ρ(x)ut −∆um = h(x, t)u1+p, x ∈ RN, t> 0, with nonnegative, nont...
AbstractWe bound the difference between solutions u and v of ut=aΔu+divxf+h and vt=bΔv+divxg+k with ...
We bound the difference between solutions $u$ and $v$ of $u_t = a\Delta u+\Div_x f+h$ and $v_t = b...
AbstractIn this paper we study the behavior of solutions of some quasilinear parabolic equations of ...
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 study the convergence and decay rate to equilibrium of bounded solutions of the quasilinear parab...
AbstractWe consider a parabolic partial differential equation ut = uxx + f(u), where − ∞ < x < + ∞ a...
AbstractWe present a shorter proof to show Hölder continuity of bounded solutions to a general class...
Existence and stability of bounded solutions for a system of parabolic equations.Leiva A., Hugo Anto...
In this note, we prove a stability theorem for a class of quasilinear elliptic equations -δp u = a(x...
Of concern is the uniformly parabolic problem \begin{equation*} u_t =\dv(\A\nabla u),\qquad u(0,...
Of concern is the nonlinear uniformly parabolic problem \begin{equation*} u_t =\dv(\A\nabla u),\q...
In this paper we consider a parabolic equation with a periodic boundary condition and we prove the s...
AbstractOf concern is the following quasilinear parabolic equation with nonlinear boundary condition...
Abstract. We consider the problem ρ(x)ut −∆um = h(x, t)u1+p, x ∈ RN, t> 0, with nonnegative, nont...
AbstractWe bound the difference between solutions u and v of ut=aΔu+divxf+h and vt=bΔv+divxg+k with ...
We bound the difference between solutions $u$ and $v$ of $u_t = a\Delta u+\Div_x f+h$ and $v_t = b...
AbstractIn this paper we study the behavior of solutions of some quasilinear parabolic equations of ...
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 study the convergence and decay rate to equilibrium of bounded solutions of the quasilinear parab...
AbstractWe consider a parabolic partial differential equation ut = uxx + f(u), where − ∞ < x < + ∞ a...
AbstractWe present a shorter proof to show Hölder continuity of bounded solutions to a general class...
Existence and stability of bounded solutions for a system of parabolic equations.Leiva A., Hugo Anto...
In this note, we prove a stability theorem for a class of quasilinear elliptic equations -δp u = a(x...
Of concern is the uniformly parabolic problem \begin{equation*} u_t =\dv(\A\nabla u),\qquad u(0,...
Of concern is the nonlinear uniformly parabolic problem \begin{equation*} u_t =\dv(\A\nabla u),\q...
In this paper we consider a parabolic equation with a periodic boundary condition and we prove the s...
AbstractOf concern is the following quasilinear parabolic equation with nonlinear boundary condition...
Abstract. We consider the problem ρ(x)ut −∆um = h(x, t)u1+p, x ∈ RN, t> 0, with nonnegative, nont...