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Homogenization with oscillatory Neumann boundary data in general domain

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Geometric Partial Differential Equations proceedings

Part of the book series: CRM Series ((CRMSNS,volume 15))

Abstract

In this article we summarize recent progress on understanding averaging properties of fully nonlinear PDEs in bounded domains, when the boundary data is oscillatory. Our result on the Neumann problem is the nonlinear version of the classical result in [4] for divergence-form operators with co-normal boundary data. We also discuss the Dirichlet boundary problem.

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Authors
  1. Sunhi Choi
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  2. Inwon C. Kim
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Editor information

Editors and Affiliations

  1. CMAP, Ecole Polytechnique, CNRS, 91128, Palaiseau Cedex, France

    Antonin Chambolle

  2. Dipartimento di Matematica, Università di Pisa, Largo Bruno Pontecorvo 5, 56127, Pisa, Italia

    Matteo Novaga

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© 2013 Scuola Normale Superiore Pisa

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Choi, S., Kim, I.C. (2013). Homogenization with oscillatory Neumann boundary data in general domain. In: Chambolle, A., Novaga, M., Valdinoci, E. (eds) Geometric Partial Differential Equations proceedings. CRM Series, vol 15. Edizioni della Normale, Pisa. https://doi.org/10.1007/978-88-7642-473-1_5

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