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math.AP2023
Sharp extension problem characterizations for higher fractional power operators in Banach spaces
A. Biswas, P. R. Stinga
We prove sharp characterizations of higher order fractional powers , where is noninteger, ofgenerators of uniformly bounded -semigroups on Banach spaces via…
math.DG2023
A PDE approach to the existence and regularity of surfaces of minimum mean curvature variation
L. A. Caffarelli, P. R. Stinga, H. Vivas
We develop an analytic theory of existence and regularity of surfaces (given by graphs) arising from the geometric minimization problem $$\min_{\mathcal{M}}\frac{1}{2}\int_{\mathca…