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_...

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Bibliographic Details
Main Authors: Kazuyuki Yamada, Yoshikazu Giga
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2002-11-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7521/4336