JournalsrlmVol. 33, No. 4pp. 833–883

Unified approach to regularity for quasilinear parabolic equations

  • Adimurthi

    Tata Institute of Fundamental Research, Bangalore, India

  • Agnid Banerjee

    Tata Institute of Fundamental Research, Bangalore, India
Unified approach to $C^{1,\alpha}$ regularity for quasilinear parabolic equations cover
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Abstract

In this paper, we are interested in obtaining a unified approach to estimates for weak solutions of quasilinear parabolic equations, the prototype example being

without having to consider the singular and degenerate cases separately. This is achieved via a new scaling and a suitable adaptation of the covering argument developed by E. DiBenedetto and A. Friedman.

Cite this article

Adimurthi, Agnid Banerjee, Unified approach to regularity for quasilinear parabolic equations. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 33 (2022), no. 4, pp. 833–883

DOI 10.4171/RLM/990