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On Some Multidimensional Versions of A Characteristic Problem for Second-Order Degenerating Hyperbolic Equations
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S. Kharibegashvili
Published/Copyright:
February 23, 2010
Abstract
Some multidimensional versions of a characteristic problem for second-order degenerating hyperbolic equations are considered. Using the technique of functional spaces with a negative norm, the correctness of these problems in the Sobolev weighted spaces are proved.
Key words and phrases.: Degenerating hyperbolic equations; multidimensional versions of a characteristic problem; Sobolev weighted space; functional space with negative norm
Received: 1995-02-02
Published Online: 2010-02-23
Published in Print: 1998-April
© 1998 Plenum Publishing Corporation
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Articles in the same Issue
- On the Integrability of the Ergodic Hilbert Transform for A Class of Functions with Equal Absolute Values
- Asymptotic Solutions for Mixed-Type Equations with A Small Deviation
- On the Boundary Value Problem in A Dihedral Angle for Normally Hyperbolic Systems of First Order
- On Some Multidimensional Versions of A Characteristic Problem for Second-Order Degenerating Hyperbolic Equations
- To the Problem of A Strong Differentiability of Integrals Along Different Directions
- On the Boundedness of Classical Operators on Weighted Lorentz Spaces
Articles in the same Issue
- On the Integrability of the Ergodic Hilbert Transform for A Class of Functions with Equal Absolute Values
- Asymptotic Solutions for Mixed-Type Equations with A Small Deviation
- On the Boundary Value Problem in A Dihedral Angle for Normally Hyperbolic Systems of First Order
- On Some Multidimensional Versions of A Characteristic Problem for Second-Order Degenerating Hyperbolic Equations
- To the Problem of A Strong Differentiability of Integrals Along Different Directions
- On the Boundedness of Classical Operators on Weighted Lorentz Spaces
