Strong $(L^2,L^{\gamma }\cap H_0^1)$-continuity in initial data of nonlinear reaction-diffusion equation in any space dimension

Hongyong Cui, Peter E. Kloeden, Wenqiang Zhao

In this paper, we study the continuity in initial data of a classical reaction-diffusion equation with arbitrary $p>2$ order nonlinearity and in any space dimension $N\ge 1$. It i…