On viscous Burgers-like equations with linearly growing initial data
We consider a viscous Burgers-like equation of the form(E) partial_t u − Delta u + divG(u) = 0 in R^n×(0,T), u|t=0 = u_0 in R^n,where partial_t = partial/partial t. It is well-known that if u_0 is bounded, (E) admits a unique global solution (cf. [8]). In this paper we consider the case that u_...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Sociedade Brasileira de Matemática
2002-11-01
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| Series: | Boletim da Sociedade Paranaense de Matemática |
| Subjects: | |
| Online Access: | http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7521/4336 |
| Summary: | We consider a viscous Burgers-like equation of the form(E) partial_t u − Delta u + divG(u) = 0 in R^n×(0,T), u|t=0 = u_0 in R^n,where partial_t = partial/partial t. It is well-known that if u_0 is bounded, (E) admits a unique global solution (cf. [8]). In this paper we consider the case that u_0 is not bounded at the space infinity. |
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| ISSN: | 0037-8712 2175-1188 |