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Existence for a degenerate Cauchy problem

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Abstract

We prove the existence of a solution to the degenerate parabolic Cauchy problem with a possibly unbounded Radon measure as an initial data. To accomplish this, we establish a priori estimates and derive a compactness result. We also show that the result is optimal in the Euclidian setting.

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  1. Department of Mathematics, Helsinki University of Technology, P.O. Box 1100, 02015 TKK, Espoo, Finland

    Tuomo Kuusi & Mikko Parviainen

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  1. Tuomo Kuusi
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  2. Mikko Parviainen
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Correspondence to Mikko Parviainen.

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Kuusi, T., Parviainen, M. Existence for a degenerate Cauchy problem. manuscripta math. 128, 213–249 (2009). https://doi.org/10.1007/s00229-008-0232-5

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  • DOI: https://doi.org/10.1007/s00229-008-0232-5

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