Construction of a fundamental solution of a partial differential equation with piecewise constant coefficients

DOI10.1016/S0007-4497(99)80017-7zbMath0919.35006OpenAlexW2069625074MaRDI QIDQ1283601

Mounir Zili

Publication date: 13 April 1999

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0007-4497(99)80017-7

zbMATH Keywords

generalized drift

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Solutions to PDEs in closed form (35C05)

Related Items (7)

Exact variations for stochastic heat equations with piecewise constant coefficients and application to parameter estimation ⋮ Stochastic heat equation with piecewise constant coefficients and generalized fractional type noise ⋮ On mild and weak solutions for stochastic heat equations with piecewise-constant conductivity ⋮ One-dimensional heat equation with discontinuous conductance ⋮ Fractional stochastic heat equation with piecewise constant coefficients ⋮ One-dimensional stochastic heat equation with discontinuous conductance ⋮ Spatial quadratic variations for the solution to a stochastic partial differential equation with elliptic divergence form operator

Cites Work

• The fundamental solution of a linear parabolic equation containing a small parameter
• Second order differential operators and Dirichlet integrals with singular coefficients. I: Functional calculus of one-dimensional operators
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