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ISSN 1088-6850(e) ISSN 0002-9947(p)

Degenerate parabolic equations with initial data measures

Author(s): Daniele Andreucci
Journal: Trans. Amer. Math. Soc. 349 (1997), 3911-3923.
MSC (1991): Primary 35K65, 35R05; Secondary 35K55, 35K15
MathSciNet review: 1333384
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Abstract: We address the problem of existence of solutions to degenerate (and nondegenerate) parabolic equations under optimal assumptions on the initial data, which are assumed to be measures. The requirements imposed on the initial data are connected both with the degeneracy of the principal part of the equation, and with the form of the nonlinear forcing term. The latter depends on the space gradient of a power of the solution. Applications to related problems are also outlined.

References:

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