The Dirichlet problem for an equation of mixed elliptic-hyperbolic type with variable potential

DOI10.3103/S1066369X15110043zbMath1331.35243OpenAlexW2304923701MaRDI QIDQ906415

N. V. Martem'yanova

Publication date: 21 January 2016

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x15110043

zbMATH Keywords

spectral methodsmall denominators

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boundary value problems for PDEs of mixed type (35M12)

Related Items (3)

Generalized solvability of the mixed value problem for a nonlinear integro-differential equation of higher order with a degenerate kernel ⋮ On a boundary-value problem for a fourth-order partial integro-differential equation with degenerate kernel ⋮ Solvability of a boundary value problem for a differential equation of the Boussinesq type

Cites Work

• The Dirichlet problem for a loaded mixed-type equation in a rectangular domain
• Tricomi problem for a mixed parabolic-hyperbolic equation in a rectangular domain
• Proof of uniqueness and membership in \(W^1_2\) of the classical solution of a mixed problem for a self-adjoint hyperbolic equation
• Dirichlet problem for mixed-type equations in a rectangular domain
• SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS
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