Geodesic
Boundary value problems for the Rayleigh–Bishop equation in a quarter plane
Matematičeskie zametki SVFU, Tome 28 (2021) no. 3, pp. 5-18 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider initial-boundary value problems for the Rayleigh–Bishop equation in a quarter plane. It is assumed that the initial-boundary value problems satisfy the Lopatinskii condition. A unique solvability in an anisotropic Sobolev space with an exponential weight is proved and an estimate for the solution is established.
Keywords: pseudohyperbolic equation, Rayleigh–Bishop equation, initial-boundary value problem, Lopatinskii condition, Sobolev space. 
@article{SVFU_2021_28_3_a0,
     author = {G. V. Demidenko and A. A. Kudryavtsev},
     title = {Boundary value problems for the {Rayleigh{\textendash}Bishop} equation in a quarter plane},
     journal = {Matemati\v{c}eskie zametki SVFU},
     pages = {5--18},
     year = {2021},
     volume = {28},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SVFU_2021_28_3_a0/}
}
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G. V. Demidenko; A. A. Kudryavtsev. Boundary value problems for the Rayleigh–Bishop equation in a quarter plane. Matematičeskie zametki SVFU, Tome 28 (2021) no. 3, pp. 5-18. http://geodesic.mathdoc.fr/item/SVFU_2021_28_3_a0/