Asymptotics of the solution of the initial boundary value problem for the one-dimensional Klein-Gordon equation with variable coefficients

DOI10.1134/s1061920824020043MaRDI QIDQ6585801

Elena S. Smirnova, S. Yu. Dobrokhotov

Publication date: 12 August 2024

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

Symplectic geometry, contact geometry (53Dxx) Waves in solid mechanics (74Jxx) General mathematical topics and methods in quantum theory (81Qxx)

Cites Work

• Problem of proper decomposition and initialization of acoustic and entropy modes in a gas affected by the mass force
• Operator separation of variables for adiabatic problems in quantum and wave mechanics
• Behavior of the solution of the Klein-Gordon equation with a localized initial condition
• Direct and inverse problems of wave propagation through a one-dimensional inhomogeneous medium
• Efficient asymptotics of solutions to the Cauchy problem with localized initial data for linear systems of differential and pseudodifferential equations
• Asymptotics of the solution of an initial-boundary value problem for the one-dimensional Klein-Gordon equation on the half-line
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