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math.AP2014★ 1 cited
Initial boundary value problem for a semilinear parabolic equation with nonlinear nonlocal boundary condition
Alexander Gladkov, Tatiana Kavitova
In this paper we consider an initial boundary value problem for a semilinear parabolic equation with nonlinear nonlocal boundary condition. We prove comparison principle, the exist…
math.AP2014
Self-similar blow-up solutions of the KPZ equation
Alexander Gladkov
In this paper we consider self-similar blow-up solutions for the generalized deterministic KPZ~equation The asymptotic behavior o…