Classical Solution of the First Mixed Problem for the Telegraph Equation with a Nonlinear Potential in a Curvilinear Quadrant

Korzyuk, V. I.; Rudzko, J. V.

doi:10.1134/s0012266123080062

Diff Equat

2023

DOI: 10.1134/s0012266123080062

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Classical Solution of the First Mixed Problem for the Telegraph Equation with a Nonlinear Potential in a Curvilinear Quadrant

V. I. Korzyuk,

J. V. Rudzko

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2024

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Cited by 1 publication

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Initial-Boundary Value Problem with Dirichlet and Wentzell Conditions for a Mildly Quasilinear Biwave Equation

Korzyuk,

Rudzko

2024

jour

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For a nonstrictly hyperbolic mildly quasilinear biwave equation in the first quadrant, an initial-boundary value problem with the Cauchy conditions specified on the spatial half-line and the Dirichlet and Wentzell conditions applied on the time half-line was examined. The solution was constructed in an implicit analytical form as a solution of some integro-differential equations. The solvability of these equations was investigated using the parameter continuation method. For the problem under study, the uniqueness of the solution was proved, and the conditions under which its classical solution exists were established. In the case when the data were not smooth enough, a mild solution was constructed.

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Initial-Boundary Value Problem with Dirichlet and Wentzell Conditions for a Mildly Quasilinear Biwave Equation

Korzyuk,

Rudzko

2024

jour

View full text Add to dashboard Cite

show abstract

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Classical Solution of the First Mixed Problem for the Telegraph Equation with a Nonlinear Potential in a Curvilinear Quadrant

Cited by 1 publication

References 27 publications

Initial-Boundary Value Problem with Dirichlet and Wentzell Conditions for a Mildly Quasilinear Biwave Equation

Initial-Boundary Value Problem with Dirichlet and Wentzell Conditions for a Mildly Quasilinear Biwave Equation

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