Stochastic representation and interior regularity of solutions of degenerate elliptic-parabolic equations

1981 ◽  
Vol 58 (3) ◽  
pp. 343-349
Author(s):  
Kazuo Amano
Keyword(s):  
Parabolic Equations ◽  
Regularity Of Solutions ◽  
Stochastic Representation ◽  
Interior Regularity ◽  
Degenerate Elliptic

scholarly journals A class of strongly degenerate elliptic operators

1989 ◽  
Vol 39 (2) ◽  
pp. 177-200 ◽  
Author(s):  
Duong Minh Duc
Keyword(s):  
Boundary Conditions ◽  
Parabolic Equations ◽  
Elliptic Equations ◽  
Elliptic Operators ◽  
Regularity Of Solutions ◽  
Degenerate Elliptic Operators ◽  
Singular Elliptic Equations ◽  
Degenerate Elliptic ◽  
Weighted Poincaré Inequality ◽  
Strongly Degenerate

Using a weighted Poincaré inequality, we study (ω1,…,ωn)-elliptic operators. This method is applied to solve singular elliptic equations with boundary conditions in W1,2. We also obtain a result about the regularity of solutions of singular elliptic equations. An application to (ω1,…,ωn)-parabolic equations is given.

scholarly journals Existence results for nonlinear degenerate elliptic equations with lower order terms

2020 ◽  
Vol 10 (1) ◽  
pp. 301-310
Author(s):  
Weilin Zou ◽  
Xinxin Li
Keyword(s):  
Lower Order ◽  
Elliptic Equations ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Regularity Of Solutions ◽  
Degenerate Elliptic Equations ◽  
Degenerate Elliptic ◽  
Initial Boundary Value ◽  
Lower Order Terms ◽  
Nonlinear Degenerate

Abstract In this paper, we prove the existence and regularity of solutions of the homogeneous Dirichlet initial-boundary value problem for a class of degenerate elliptic equations with lower order terms. The results we obtained here, extend some existing ones of [2, 9, 11] in some sense.

Degenerate elliptic-parabolic equations of second order

1967 ◽  
Vol 20 (4) ◽  
pp. 797-872 ◽  
Author(s):  
J. J. Kohn ◽  
L. Nirenberg
Keyword(s):  
Parabolic Equations ◽  
Second Order ◽  
Degenerate Elliptic
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