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| INTERFACE PROBLEMS FOR ELLIPTIC DIFFERENTIAL EQUATIONS |
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Citation： |
Ying Lungan.INTERFACE PROBLEMS FOR ELLIPTIC DIFFERENTIAL EQUATIONS[J].Chinese Annals of Mathematics B,1997,18(2):139~152 |
| Page view： 1146
Net amount： 731 |
Authors： |
Ying Lungan; |
Foundation： |
Project supported by the National Natural Science
Foundation of China |
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| Abstract： |
A new approach is given to analyse the regularity of
solutions near singular points for the interface problems of second
order elliptic partial differential equations. For general equations
with nonsymmetric dominant terms and discontinuous piecewise smooth
coefficients, it is proved that solutions in $H^1$ can be docomposed into
two parts, one of which is a finite sum of particular solutions to the
corresponding homogeneous equations with piecewise constant
coefficients, and the other one of which is the regular part. Moreover
a priori estimations are proven. |
Keywords： |
Elliptic equation, Interface problem, Singular point,
Regularity,A priori estimation |
Classification： |
35J25, 35B65 |
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