The Cauchy problem and self-similar solutions for a nonlinear parabolic equation

Biler, Piotr

Biler, Piotr

Studia Mathematica, Tome 113 (1995), p. 181-205 / Harvested from The Polish Digital Mathematics Library

Résumé

The existence of solutions to the Cauchy problem for a nonlinear parabolic equation describing the gravitational interaction of particles is studied under minimal regularity assumptions on the initial conditions. Self-similar solutions are constructed for some homogeneous initial data.

Publié le : 1995-01-01

Zbl 0829.35044

EUDML-ID : urn:eudml:doc:216187

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     author = {Piotr Biler},
     title = {The Cauchy problem and self-similar solutions for a nonlinear parabolic equation},
     journal = {Studia Mathematica},
     volume = {113},
     year = {1995},
     pages = {181-205},
     zbl = {0829.35044},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv114i2p181bwm}
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Biler, Piotr. The Cauchy problem and self-similar solutions for a nonlinear parabolic equation. Studia Mathematica, Tome 113 (1995) pp. 181-205. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv114i2p181bwm/

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