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On the Solvability of a Darboux Type Non-Characteristic Spatial Problem for the Wave Equation
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S. Kharibegashvili
Published/Copyright:
February 23, 2010
Abstract
The question of the correct formulation of a Darboux type non-characteristic spatial problem for the wave equation is investigated. The correct solvability of the problem is proved in the Sobolev space for surfaces of the temporal type on which Darboux type boundary conditions are given.
Key words and phrases.: Non-characteristic spatial problem of Darboux type; wave equation; a priori estimate
Received: 1994-02-10
Published Online: 2010-02-23
Published in Print: 1996-February
© 1996 Plenum Publishing Corporation
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Keywords for this article
Non-characteristic spatial problem of Darboux type;
wave equation;
a priori estimate
Articles in the same Issue
- Commutativity for a Certain Class of Rings
- Partial Averaging for Impulsive Differential Equations with Supremum
- An Algebraic Model of Fibration with the Fiber K(π, n)-Space
- On the Uniqueness of Maximal Functions
- On the Solvability of a Darboux Type Non-Characteristic Spatial Problem for the Wave Equation
- Littlewood–Paley Operators on the Generalized Lipschitz Spaces
- On Strong Maximal Operators Corresponding to Different Frames
- Complexity of the Decidability of One Class of Formulas in Quantifier-Free Set Theory with a Set-Union Operator
