Chapter

Nonlinear Evolution Equations and Related Topics

pp 203-214

On some singular limits of homogeneous semigroups

  • P. Bénilan
  • , L. C. EvansAffiliated withDepartment of Mathematics, University of California
  • , R. F. GariepyAffiliated withDepartment of Mathematics, University of Kentucky

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Abstract

This paper is based upon some handwritten notes Philippe sent us in late 1996, following his visit to UC Berkeley. He was interested in a scaling argument from our paper with Feldman [E-F-G], and in his notes extended this trick to cover general nonlinear evolutions governed by homogeneous accretive operators. We reproduce his proof in §2 below, and add some commentary and a few Pde examples

Keywords

Singular limits homogeneous semigroups

Mathematics Subject Classification 2000

35K55 (35B40)