Journal of Shanghai University(Natural Science Edition) ›› 2012, Vol. 18 ›› Issue (5): 496-499.doi: 10.3969/j.issn.1007-2861.2012.05.011

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Existence of Solutions to a Dynamic Boundary Value Problem

WANG Yuan-di,SHI Ben-lei   

  1. College of Sciences, Shanghai University, Shanghai 200444, China
  • Received:2012-04-05 Online:2012-10-30 Published:2012-10-30

Abstract: A dynamic boundary value problem of parabolic equation is investigated. Existence of classic solutions is proved by combining the Sobolev-Slobodeckij space theory and fixed point theorem.

Key words: boundary value problem, nonlocal, parabolic equation

CLC Number: