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On the local behaviour of solutions of a certain class of doubly nonlinear parabolic equations

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Abstract

Here we prove Hölder regularity for bounded weak solutions of nonlinear parabolic equations with measurable coefficients. The prototype of this class of equations isu t =Div(|u|β|Du|p−2 Du)p>1, β>1−p

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Author notes

  1. Vincenzo Vespri

    Present address: Dipartimento di Matematica, Università di Pavia, via Strada Nuova 65, 27100, Pavia, Italy

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  1. Australian National University, Centre for Mathematics and its Applications, 2601, Canberra, ACT

    Vincenzo Vespri

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  1. Vincenzo Vespri
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Vespri, V. On the local behaviour of solutions of a certain class of doubly nonlinear parabolic equations. Manuscripta Math 75, 65–80 (1992). https://doi.org/10.1007/BF02567072

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  • DOI: https://doi.org/10.1007/BF02567072

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