W^1,p Estimates For Parabolic Equations With VMO Coefficients In Lipschitz Cylinders

Posted on:2022-11-13

Degree:Master

Type:Thesis

Country:China

Candidate:Z H Guo

Full Text:PDF

GTID:2480306782477094

Subject:Mathematics

Abstract/Summary:

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In this paper,We study the inital-Dirichlet problems for second order parabolic equations with VMO coefficients in Lipschitz cylinders:We show that the W1,p estimates hold for 3/2-?0,and the range of p is sharp.We also give a sufficient condition for W1,p estimates for the initial-Dirichlet problems.

Keywords/Search Tags:

Second order parabolic equations, Lipschitz cylinders, Dirichlet problems, W1,p estimates, real variable method

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W1,p Estimates For Parabolic Equations With VMO Coefficients In Lipschitz Cylinders

W^1,p Estimates For Parabolic Equations With VMO Coefficients In Lipschitz Cylinders