AbstractWe study asymptotic behavior in time of small solutions to nonlinear heat equations in subcritical case. We find a new family of self-similar solutions which change a sign. We show that solutions are stable in the neighborhood of these self-similar solutions
AbstractThe Cauchy problem for the semilinear heat equations is studied in the Orlicz space expL2(Rn...
ABSTRACT. We prove that if the initial data Uo of the equation: u t- Au + uP = 0 (where 1 < p <...
Consider the nonlinear heat equation(Formula presented.)in the unit ball of (Formula presented.), wi...
Abstract. In this paper, we study the asymptotic behavior of cer-tain solutions of the nonlinear hea...
In this paper, we study the asymptotic behavior of certain solutions of the nonlinear heat equation ...
In this paper a semilinear heat equation with a convex nonlinearity is considered. The asymptotic be...
International audienceWe consider the nonlinear heat equation $u_t = \Delta u + |u|^\alpha u$ with $...
International audienceWe consider the nonlinear heat equation $u_t = \Delta u + |u|^\alpha u$ with $...
International audienceWe consider the nonlinear heat equation $u_t = \Delta u + |u|^\alpha u$ with $...
International audienceWe consider the nonlinear heat equation $u_t - \Delta u = |u|^\alpha u$ on ${...
We consider radial decreasing solutions of the semilinear heat equation, both for subcrit-ical and s...
We consider the heat flow of corotational harmonic maps from R3 to the three-sphere and prove the no...
We consider the nonlinear heat equation $u_t - \Delta u = |u|^\alpha u$ on ${\mathbb R}^N$, where $...
We consider the nonlinear heat equation $u_t - \Delta u = |u|^\alpha u$ on ${\mathbb R}^N$, where $...
Abstract. Asymptotic behavior of solutions to heat equations with spatially singular inverse-square ...
AbstractThe Cauchy problem for the semilinear heat equations is studied in the Orlicz space expL2(Rn...
ABSTRACT. We prove that if the initial data Uo of the equation: u t- Au + uP = 0 (where 1 < p <...
Consider the nonlinear heat equation(Formula presented.)in the unit ball of (Formula presented.), wi...
Abstract. In this paper, we study the asymptotic behavior of cer-tain solutions of the nonlinear hea...
In this paper, we study the asymptotic behavior of certain solutions of the nonlinear heat equation ...
In this paper a semilinear heat equation with a convex nonlinearity is considered. The asymptotic be...
International audienceWe consider the nonlinear heat equation $u_t = \Delta u + |u|^\alpha u$ with $...
International audienceWe consider the nonlinear heat equation $u_t = \Delta u + |u|^\alpha u$ with $...
International audienceWe consider the nonlinear heat equation $u_t = \Delta u + |u|^\alpha u$ with $...
International audienceWe consider the nonlinear heat equation $u_t - \Delta u = |u|^\alpha u$ on ${...
We consider radial decreasing solutions of the semilinear heat equation, both for subcrit-ical and s...
We consider the heat flow of corotational harmonic maps from R3 to the three-sphere and prove the no...
We consider the nonlinear heat equation $u_t - \Delta u = |u|^\alpha u$ on ${\mathbb R}^N$, where $...
We consider the nonlinear heat equation $u_t - \Delta u = |u|^\alpha u$ on ${\mathbb R}^N$, where $...
Abstract. Asymptotic behavior of solutions to heat equations with spatially singular inverse-square ...
AbstractThe Cauchy problem for the semilinear heat equations is studied in the Orlicz space expL2(Rn...
ABSTRACT. We prove that if the initial data Uo of the equation: u t- Au + uP = 0 (where 1 < p <...
Consider the nonlinear heat equation(Formula presented.)in the unit ball of (Formula presented.), wi...