The fundamental solution for a parabolic pseudo-differential operator and parametrices for degenerate operators
From MaRDI portal
Publication:4084132
DOI10.3792/pja/1195518695zbMath0321.35068OpenAlexW2090735273MaRDI QIDQ4084132
Publication date: 1975
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/1195518695
Pseudodifferential operators as generalizations of partial differential operators (35S05) Higher-order parabolic equations (35K25) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)
Related Items (8)
Propagation principle for parabolic H-measures ⋮ Cauchy problem for a class of pseudodifferential systems with smooth symbols ⋮ Optimal regularity of a degenerate elliptic equation ⋮ Fundamental solution of a higher step Grushin type operator ⋮ Poisson operators for boundary problems concerning a class of degenerate parabolic equations ⋮ Heat kernel of anisotropic nonlocal operators ⋮ Asymptotic distribution of eigenvalues of a class of hypoelliptic operators ⋮ The inverse of a parameter family of degenerate operators and applications to the Kohn-Laplacian
Cites Work
- Unnamed Item
- Solutions nulles et solutions non analytiques
- Pseudo-differential operators of multiple symbol and the Calderon- Vaillancourt theorem
- A general calculus of pseudodifferential operators
- Fundamental solutions of some degenerate operators
- Hypoelliptic second order differential equations
- Complex powers of hypoelliptic pseudo-differential operators with applications
- The fundamental solution for a degenerate parabolic pseudo-dierential operator
- Oscillatory integrals of symbols of pseudo-differential operators on $R^n $ and operators of Fredholm type
- Parametrices for pseudodifferential operators with multiple characteristics
This page was built for publication: The fundamental solution for a parabolic pseudo-differential operator and parametrices for degenerate operators
