Non-homogeneous boundary value problems of the Kawahara equation posed on a finite interval (Q2105517)
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scientific article; zbMATH DE number 7629231
| Language | Label | Description | Also known as |
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| English | Non-homogeneous boundary value problems of the Kawahara equation posed on a finite interval |
scientific article; zbMATH DE number 7629231 |
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Non-homogeneous boundary value problems of the Kawahara equation posed on a finite interval (English)
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8 December 2022
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The authors study local-in-time solvability of a dispersive, fifth order equation of the Korteweg-de Vries type, the so-called, Kawahara equation. The framework is the scale of Sobolev spaces over a finite interval, and the boundary conditions are defined by quite general (fourth order) linear operators with time-dependent forcing. The analysis of the linearized problem, including Kato type smoothing properties, is an essential part of proofs.
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higher order Korteweg-de Vries-type equation
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initial-boundary value problem
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time-dependent boundary conditions
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local well-posedness in Sobolev spaces
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