Cauchy problem for a class of pseudodifferential systems with smooth symbols

DOI10.1007/s11072-006-0057-7zbMath1262.35215OpenAlexW2038631733MaRDI QIDQ1949390

Vladyslav A. Litovchenko

Publication date: 7 May 2013

Published in: Nonlinear Oscillations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11072-006-0057-7

Mathematics Subject Classification ID

Initial value problems for second-order parabolic systems (35K45) Initial value problems for PDEs with pseudodifferential operators (35S10)

Cites Work

• On the Cauchy problem for parabolic pseudo-differential equations
• Correct Solvability of the Cauchy Problem for One Equation of Integral Form
• On symbols of fundamental solutions of parabolic systems
• The fundamental solution for a degenerate parabolic pseudo-dierential operator
• The fundamental solution for a parabolic pseudo-differential operator and parametrices for degenerate operators
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