Optimal singularities of initial functions for solvability of a semilinear parabolic system
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DOI: 10.2969/jmsj/86058605
Abstract: Let $(u,v)$ be a nonnegative solution to the semilinear parabolic system \[ \mbox{(P)} \qquad \cases{ \partial_t u=D_1\Delta u+v^p, & $x\in{\bf R}^N,\,\,\,t>0,$\\ \partial_t v=D_2\Delta v+u^q, & $x\in{\bf R}^N,\,\,\,t>0,$\\ (u(\cdot,0),v(\cdot,0))=(\mu,\nu), & $x\in{\bf R}^N,$ } \] where $D_1$,… read more here.
Keywords: semilinear parabolic; initial functions; parabolic system; optimal singularities ... See more keywords