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

Joachim Escher () and Gieri Simonett ()
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Joachim Escher: University of Hannover, Institute for Applied Mathematics
Gieri Simonett: Vanderbilt University, Department of Mathematics

A chapter in Nonlinear Evolution Equations and Related Topics, 2004, pp 549-576 from Springer

Abstract: 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.

Keywords: Banach Space; Riemannian Manifold; Symmetric Space; Implicit Function Theorem; Bellman Equation (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-7924-8_29

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DOI: 10.1007/978-3-0348-7924-8_29

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