Equivalence of viscosity and weak solutions for a p-parabolic equation
Siltakoski, J. (2021). Equivalence of viscosity and weak solutions for a p-parabolic equation. Journal of Evolution Equations, 21(2), 2047-2080. https://doi.org/10.1007/s00028-020-00666-y
Published inJournal of Evolution Equations
© 2021 The Author(s)
We study the relationship of viscosity and weak solutions to the equation partial derivative(t)u - Delta(p)u = f (Du), where p > 1 and f is an element of C(R-N) satisfies suitable assumptions. Our main result is that bounded viscosity supersolutions coincide with bounded lower semicontinuous weak supersolutions. Moreover, we prove the lower semicontinuity of weak supersolutions when p >= 2.
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Additional information about fundingOpen Access funding provided by University of Jyväskylä (JYU).
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