Curved thin domains and parabolic equations
Martino Prizzi, Maurizio Rinaldi, Krzysztof P. Rybakowski · Studia Mathematica · 2002
Consider the family $$ \eqalign{ &u_t = {\mit\Delta} u + G(u),\ \quad t>0,\, x\in {\mit\Omega}_\varepsilon,\cr &\partial_{ u_\varepsilon}u= 0,\ \quad t>0,\, x\in \partial {\mit\Omega}_\varepsilon,} \tag*{$(E_\varepsilon)$}$$ of semilinear Neumann bounda