A semilinear elliptic equation in a thin network-shaped domain

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概要

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• We consider a semilinear elliptic equation in a varying thin domain of \bm{R}<SUP>n</SUP>. This thin domain degenerates into a geometric graph when a certain parameter tends to zero. We determine a limit equation on the graph and we prove that a solution of the PDE converges to a solution of the limit equation. Conversely, when a solution of the limit equation is given, we construct a solution of the PDE approaching a solution of the limit equation.

• 社団法人 日本数学会の論文

著者

• Kosugi Satoshi

  Department Of Mathematics Graduate School Of Science Hokkaido University

関連論文

• A semilinear elliptic equation in a thin network-shaped domain

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