The uniqueness of the solution of an initial boundary value problem for a hyperbolic equation with a mixed derivative and a formula for the solution
DOI10.18500/1816-9791-2023-23-2-183-194zbMath1525.35006OpenAlexW4378909327MaRDI QIDQ6116413
Publication date: 11 August 2023
Published in: Izvestiya of Saratov University. Mathematics. Mechanics. Informatics (Search for Journal in Brave)
Full work available at URL: http://mathnet.ru/eng/isu977
initial boundary value problemfinite segmentmixed derivative in equationsecond-order hyperbolic equation with constant coefficients
Initial-boundary value problems for second-order hyperbolic equations (35L20) Series solutions to PDEs (35C10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Boundary problems for ordinary differential equations with parameter in the boundary conditions
- Behavior of the formal solution to a mixed problem for the wave equation
- Effective application of the Fourier technique for constructing a solution to a mixed problem for a telegraph equation
- On Classic Solution of the Problem for a Homogeneous Wave Equation with Fixed End-Points and Zero Initial Velocity
- Mixed Problem for a Homogeneous Wave Equation with a Nonzero Initial Velocity and a Summable Potential
- Classical and generalized solutions of a mixed problem for a nonhomogeneous wave equation
- Unnamed Item
- Unnamed Item
This page was built for publication: The uniqueness of the solution of an initial boundary value problem for a hyperbolic equation with a mixed derivative and a formula for the solution