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Some remarks on Γ-convergence and least squares method

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Composite Media and Homogenization Theory

Part of the book series: Progress in Nonlinear Differential Equations and Their Applications ((PNLDE,volume 5))

Abstract

In the study of semicontinuity, relaxation, and Γ-convergence problems, few attention has been devoted, up to now, to questions concerning functionals arising in the study of differential equations or systems by the method of least squares. I think that a systematic study of these functionals could lead to interesting results, as, for instance, a reasonable “variational” definition of “weak solutions” of differential equations or systems.

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© 1991 Birkhäuser Boston

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De Giorgi, E. (1991). Some remarks on Γ-convergence and least squares method. In: Dal Maso, G., Dell’Antonio, G.F. (eds) Composite Media and Homogenization Theory. Progress in Nonlinear Differential Equations and Their Applications, vol 5. Birkhäuser Boston. https://doi.org/10.1007/978-1-4684-6787-1_8

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  • DOI: https://doi.org/10.1007/978-1-4684-6787-1_8

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-1-4684-6789-5

  • Online ISBN: 978-1-4684-6787-1

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