SINGULARITIES OF THE KERNELS OF FOURIER INTEGRAL OPERATORS AND THE ASYMPTOTIC BEHAVIOUR OF THE SOLUTION OF THE MIXED PROBLEM

DOI10.1070/RM1977V032N06ABEH003861zbMath0386.35005OpenAlexW2087651584MaRDI QIDQ4167037

Publication date: 1977

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1977v032n06abeh003861

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Initial value problems for higher-order hyperbolic equations (35L30) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)

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Sharpness of some distributions associated with \(A_ m\)-singularity ⋮ Double asymptotic expansion of the resolving operator of the Cauchy problem for the linearized system of gas dynamics ⋮ Boundary characteristic point regularity for Navier-Stokes equations: blow-up scaling and petrovskii-type criterion (a formal approach) ⋮ Non-Radial Very Singular Similarity Solutions of Absorption-Diffusion Equations with Non-Homogeneous Potentials ⋮ Global Sign-changing Solutions of a Higher Order Semilinear Heat Equation in the Subcritical Fujita Range ⋮ Construction of type I blowup solutions for a higher order semilinear parabolic equation

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