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A method of constructing Morse flows to variational functionals. (English) Zbl 0802.35068
Summary: By treating a simple variational problem of harmonic map type as an illustration, we propose a method of constructing Morse flows, in which our primary concern is to obtain ‘local estimates’, to be more concrete, the estimate of Caccioppoli type and hence the higher integrability of the gradients resulting from an application of Gehring theory.

MSC:
35K55 Nonlinear parabolic equations
35K40 Second-order parabolic systems
35B45 A priori estimates in context of PDEs
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