On Γ−-convergence of functionals with analytic integrand
Copyright policy )On Γ−-convergence of functionals with analytic integrand
This paper is concerned with \(\Gamma\)-convergence of sequences of simple integral functionals of the calculus of variations. It shows that, under suitable conditions, some differentiability properties of the integrands of the approximating functionals, in particular the analyticity, remain true for the integrand of the \(\Gamma\)-limit functional.
Methods involving semicontinuity and convergence; relaxation, integrand of the \(\Gamma\)-limit functional, Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems, differentiability properties of the integrands of the approximating functionals, \(\Gamma\)-convergence, analyticity, sequences of simple integral functionals, Real-analytic functions
Methods involving semicontinuity and convergence; relaxation, integrand of the \(\Gamma\)-limit functional, Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems, differentiability properties of the integrands of the approximating functionals, \(\Gamma\)-convergence, analyticity, sequences of simple integral functionals, Real-analytic functions
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