On symbols of fundamental solutions of parabolic systems

DOI10.3792/PJA/1195518942zbMath0301.35049OpenAlexW1997849218MaRDI QIDQ4056469

Kenzo Shinkai

Publication date: 1974

Published in: Proceedings of the Japan Academy, Series A, Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pja/1195518942

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Initial value problems for second-order parabolic systems (35K45) Initial value problems for PDEs with pseudodifferential operators (35S10)

Related Items (3)

Cauchy problem for a class of pseudodifferential systems with smooth symbols ⋮ On the fundamental solution of a degenerate parabolic system ⋮ Factorizations and fundamental solutions for differential operators of elliptic-hyperbolic type

Cites Work

• Pseudo-differential operators of multiple symbol and the Calderon- Vaillancourt theorem
• Complex powers of hypoelliptic pseudo-differential operators with applications
• The fundamental solution for a degenerate parabolic pseudo-dierential operator
• Complex powers of non-elliptic operators

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