Acta mathematica scientia,Series A ›› 2005, Vol. 25 ›› Issue (5): 685-693.

• Articles • Previous Articles     Next Articles

Regularity of Solutions to Second Order Elliptic Equations with Discontinuous Coefficients

 XIN Mei   

  • Online:2005-10-25 Published:2005-10-25

Abstract:

The mathematical problem discussed in the paper is derived from the electric field with discontinuous dielectric constants arising in biology and physics. The author will study the existence and regularity of solutions to semi linear second order elliptic equations with discontinuous coefficients. The pseudo differential operator is a basic tool in the present paper.

Key words: Regularity, Pseudo differential operator, Discontinuous coefficients

CLC Number: 

  • 35R05
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