AbstractWe give sufficient conditions which guarantee that solutions of a superlinear heat equation decay to zero at the same rate as the solutions of the linear heat equation with the same initial data. This improves a previous result of Lee and Ni by showing that this behaviour holds for a significantly larger, and rather tightly defined class of solutions
AbstractWe study the Cauchy problem for the nonlinear heat equation ut-▵u=|u|p-1u in RN. The initial...
We study solutions of the equation ut−Δu+λu=f, for initial data that is ‘large at infinity’ as treat...
We investigate the asymptotic behavior of solutions to a semilinear heat equation with homogeneous N...
AbstractWe give sufficient conditions which guarantee that solutions of a superlinear heat equation ...
We study the limit, when $k\to\infty$ of solutions of $u_t-\Delta u+f(u)=0$ in $R^N\times(0,\infty)$...
We study the limit, when $k\to\infty$ of solutions of $u_t-\Delta u+f(u)=0$ in $R^N\times(0,\infty)$...
We study the behaviour of the solutions to the quasilinear heat equation with a reaction restricted ...
AbstractWe study the behavior of solutions of the Cauchy problem for a supercritical semilinear para...
We study the behaviour of the solutions to the quasilinear heat equation with a reaction restricted ...
We study solutions of the equation ut−Δu+λu=f, for initial data that is ‘large at infinity’ as treat...
In this paper we obtain bounds for the decay rate for solu- tions to the nonlocal problem ∂t u(t, x)...
In this paper we obtain bounds for the decay rate for solu- tions to the nonlocal problem ∂t u(t, x)...
International audienceWe study the self-similar solutions of any sign of the equation u_{t}-div(|∇u|...
summary:We show that nonnegative solutions of $$ \begin{aligned} & u_{t}-u_{xx}+f(u)=0,\quad x\in \B...
summary:We show that nonnegative solutions of $$ \begin{aligned} & u_{t}-u_{xx}+f(u)=0,\quad x\in \B...
AbstractWe study the Cauchy problem for the nonlinear heat equation ut-▵u=|u|p-1u in RN. The initial...
We study solutions of the equation ut−Δu+λu=f, for initial data that is ‘large at infinity’ as treat...
We investigate the asymptotic behavior of solutions to a semilinear heat equation with homogeneous N...
AbstractWe give sufficient conditions which guarantee that solutions of a superlinear heat equation ...
We study the limit, when $k\to\infty$ of solutions of $u_t-\Delta u+f(u)=0$ in $R^N\times(0,\infty)$...
We study the limit, when $k\to\infty$ of solutions of $u_t-\Delta u+f(u)=0$ in $R^N\times(0,\infty)$...
We study the behaviour of the solutions to the quasilinear heat equation with a reaction restricted ...
AbstractWe study the behavior of solutions of the Cauchy problem for a supercritical semilinear para...
We study the behaviour of the solutions to the quasilinear heat equation with a reaction restricted ...
We study solutions of the equation ut−Δu+λu=f, for initial data that is ‘large at infinity’ as treat...
In this paper we obtain bounds for the decay rate for solu- tions to the nonlocal problem ∂t u(t, x)...
In this paper we obtain bounds for the decay rate for solu- tions to the nonlocal problem ∂t u(t, x)...
International audienceWe study the self-similar solutions of any sign of the equation u_{t}-div(|∇u|...
summary:We show that nonnegative solutions of $$ \begin{aligned} & u_{t}-u_{xx}+f(u)=0,\quad x\in \B...
summary:We show that nonnegative solutions of $$ \begin{aligned} & u_{t}-u_{xx}+f(u)=0,\quad x\in \B...
AbstractWe study the Cauchy problem for the nonlinear heat equation ut-▵u=|u|p-1u in RN. The initial...
We study solutions of the equation ut−Δu+λu=f, for initial data that is ‘large at infinity’ as treat...
We investigate the asymptotic behavior of solutions to a semilinear heat equation with homogeneous N...
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