Geodesic
Log-concavity in some parabolic problems
Electronic Journal of Differential Equations, Tome 1999 (1999).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We improve a concavity maximum principle for parabolic equations of the second order, which was initially established by Korevaar, and then we use this result to investigate some boundary value problems. In particular, we find structural conditions on the equation, and suitable conditions on the domain of the problem and on the boundary data, that suffice to yield spatial log-concavity of the (positive) solution. Examples and applications are provided, and some unsolved problems are pointed out. We also survey some classical as well as recent contributions to the subject.
Classification : 35B50, 35K55, 35K65, 35B05
Keywords: concavity maximum principle, log-concavity, parabolic equation 
@article{EJDE_1999__1999__a16,
     author = {Greco, Antonio and Kawohl, Bernd},
     title = {Log-concavity in some parabolic problems},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {1999},
     year = {1999},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a16/}
}
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Greco, Antonio; Kawohl, Bernd. Log-concavity in some parabolic problems. Electronic Journal of Differential Equations, Tome 1999 (1999). http://geodesic.mathdoc.fr/item/EJDE_1999__1999__a16/