Analyticity of solutions to fully nonlinear parabolic evolution equations on symmetric spaces

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Original languageEnglish
Pages (from-to)549-576
Number of pages28
JournalJournal of Evolution Equations
Volume3
Issue number4
Publication statusPublished - 2003

Abstract

It is shown that solutions to fully nonlinear parabolic evolution equations on symmetric Riemannian manifolds are real analytic in space and time, provided the propagator is compatible with the underlying Lie structure. Applications to Bellman equations and to a class of mean curvature flows are also discussed.

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Analyticity of solutions to fully nonlinear parabolic evolution equations on symmetric spaces. / Escher, Joachim; Simonett, Gieri.
In: Journal of Evolution Equations, Vol. 3, No. 4, 2003, p. 549-576.

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