Asymptotic stability of singular solution to nonlinear heat equation
Dominika Pilarczyk - Instytut Matematyczny, Uniwersytet Wroclawski, pl. Grunwaldzki 2/4, 50-384 Wroclaw, Poland (email)
Abstract: In this paper, we discuss the asymptotic stability of singular steady states of the nonlinear heat equation $u_t=\Delta u+u^p$ in weighted $L^r$ - norms.
Keywords: semilinear parabolic equation, asymptotics of solutions,
Received: December 2008; Revised: June 2009; Published: August 2009.
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