Existence of stable periodic solutions of a semilinear parabolic problem under Hammerstein-type conditions
We prove the solvability of the parabolic problem $$\partial_t u-\sum_{i,j=1}^N \partial_{x_i}(a_{i,j}(x,t)\partial_{x_j}u)+\sum_{i=1}^N b_i(x,t)\partial_{x_i}u=f(x,t,u)\hbox{ in }\Omega\times R$$ $$u(x,t)=0\hbox{ on }\partial\Omega\times R$$ $$u(x,t)=u(x,t+T)\hbox{ in }\Omega\times R$$ assuming cer...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
1999-01-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=18 |