Article
Licensed
Unlicensed
Requires Authentication
On the Solution of the Dirichlet Problem for an Elliptic Equation Degenerating on the Boundary
-
A. Jvarsheishvili
Published/Copyright:
February 23, 2010
Abstract
The Dirichlet problem for the equation
yΔW + αWy = –F
is studied in the semi-circle x2 + y2 < 1, y > 0. The restrictions on F are established under which the problem is uniquely solvable in the definite generalized sense.
Key words and phrases.: Elliptic partial differential equation; type degeneration; Dirichlet problem; Green function; generalized solution
Received: 1993-03-29
Revised: 1995-07-13
Published Online: 2010-02-23
Published in Print: 1997-April
© 1997 Plenum Publishing Corporation
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- Test for Disconjugacy of a Differential Inclusion of Neutral Type
- On the Solution of the Dirichlet Problem for an Elliptic Equation Degenerating on the Boundary
- Imbeddings Between Weighted Orlicz–Lorentz Spaces
- Oscillation and Nonoscillation Criteria for Second-Order Linear Differential Equations
- Lyapunov Type Integral Inequalities for Certain Differential Equations
- Obstructions to the Section Problem in a Fibration with a Weak Formal Base
- Hyperplane Singularities of Analytic Functions of Several Complex Variables
- The Hörmander and Maslov Classes and Fomenko's Conjecture
Keywords for this article
Elliptic partial differential equation;
type degeneration;
Dirichlet problem;
Green function;
generalized solution
Articles in the same Issue
- Test for Disconjugacy of a Differential Inclusion of Neutral Type
- On the Solution of the Dirichlet Problem for an Elliptic Equation Degenerating on the Boundary
- Imbeddings Between Weighted Orlicz–Lorentz Spaces
- Oscillation and Nonoscillation Criteria for Second-Order Linear Differential Equations
- Lyapunov Type Integral Inequalities for Certain Differential Equations
- Obstructions to the Section Problem in a Fibration with a Weak Formal Base
- Hyperplane Singularities of Analytic Functions of Several Complex Variables
- The Hörmander and Maslov Classes and Fomenko's Conjecture
