Remarks on the Klein-Gordon equation
Lars Hörmander (1987)
Journées équations aux dérivées partielles
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Displaying similar documents to “Solutions of a fourth order degenerate parabolic equation with weak initial trace”
Remarks on the Klein-Gordon equation
Nonlinear parabolic equations with natural growth terms and measure initial data
Dominique Blanchard, Alessio Porretta (2001)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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On the Cauchy problem and initial traces for a class of evolution equations with strongly nonlinear sources
D. Andreucci, E. Di Benedetto (1991)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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The dipole solution for the porous medium equation in several space dimensions
Josephus Hulshof, Juan Luis Vazquez (1993)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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The support shrinking properties for solutions of quasilinear parabolic equations with strong absorption terms
Stanislav Antontsev, Jesus Ildefonso Díaz, Serguei I. Shmarev (1995)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Cauchy problem for semilinear parabolic equations with initial data in H (R) spaces.
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...