Abstract
The Cauchy problem for the semilinear heat equations is studied in the Orlicz space exp L 2(R{double-struck}n), where any power behavior of interaction works as a subcritical nonlinearity. We prove the existence of global solutions for the semilinear heat equations with the exponential nonlinearity under the smallness condition on the initial data in exp L2(R{double-struck}n).
Original language | English |
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Pages (from-to) | 1172-1194 |
Number of pages | 23 |
Journal | Journal of Differential Equations |
Volume | 251 |
Issue number | 4-5 |
DOIs | |
Publication status | Published - 2011 Aug 15 |
Keywords
- Cauchy problems
- Critical Sobolev embeddings
- Global existence
- Orlicz spaces
ASJC Scopus subject areas
- Analysis
- Applied Mathematics