L 2-lower semicontinuity of functionals of quadratic type
Copyright policy )L 2-lower semicontinuity of functionals of quadratic type
A representation formula for the L2-lower semicontinuous envelope of a quadratic integral of Calculus of Variations is given. Some particular cases are explicited in the details.
lower semicontinuity, Methods involving semicontinuity and convergence; relaxation, quadratic integrals, representation results, envelopes, Optimality conditions for free problems in two or more independent variables, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems
lower semicontinuity, Methods involving semicontinuity and convergence; relaxation, quadratic integrals, representation results, envelopes, Optimality conditions for free problems in two or more independent variables, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems
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