On the second-order regularity of solutions to the parabolic p-Laplace equation
Feng, Y., Parviainen, M., & Sarsa, S. (2022). On the second-order regularity of solutions to the parabolic p-Laplace equation. Journal of Evolution Equations, 22, Article 6. https://doi.org/10.1007/s00028-022-00760-3
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Journal of Evolution EquationsDate
2022Discipline
Analyysin ja dynamiikan tutkimuksen huippuyksikköMatematiikkaAnalysis and Dynamics Research (Centre of Excellence)MathematicsCopyright
© 2022 Crown
In this paper, we study the second-order Sobolev regularity of solutions to the parabolic p-Laplace equation. For any p-parabolic function u, we show that D(|Du|p−2+s2Du) exists as a function and belongs to L2loc with s>−1 and 1
<∞. The range of s is sharp.
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BirkhäuserISSN Search the Publication Forum
1424-3199Keywords
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Additional information about funding
Yawen Feng was supported by China Scholarship Council, No. 202006020186. Saara Sarsa was supported by the Academy of Finland, the Centre of Excellence in Analysis and Dynamics Research and the Academy of Finland, Project 308759.License
Except where otherwise noted, this item's license is described as CC BY 4.0