Global existence for quasi-linear dissipative hyperbolic equations with large data and small parameter
Albert J. Milani (1990)
Czechoslovak Mathematical Journal
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Albert J. Milani (1990)
Czechoslovak Mathematical Journal
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Thierry Goudon, Mazen Saad (2001)
Revista Matemática Iberoamericana
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This paper is devoted to general parabolic equations involving 0 and 1 order terms, in linear and nonlinear expressions, while the data only belong to L. Existence and entropic-uniqueness of solutions are proved.
Francis Ribaud (1998)
Revista Matemática Iberoamericana
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We study local and global Cauchy problems for the Semilinear Parabolic Equations ∂U - ΔU = P(D) F(U) with initial data in fractional Sobolev spaces H (R). In most of the studies on this subject, the initial data U(x) belongs to Lebesgue spaces L(R) or to supercritical fractional Sobolev spaces H (R) (s > n/p). Our purpose is to study the intermediate cases (namely for 0 < s < n/p). We give some mapping properties for functions with polynomial...
Walter Littman (1978)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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E. Di Benedetto (1986)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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