Evolution equations with real time variable and complex spatial variables

DOI10.1080/17476930802045788zbMath1155.47040OpenAlexW2042144349MaRDI QIDQ3521130

Jerome A. Goldstein, Ciprian G. Gal, Sorin Gheorghe Gal

Publication date: 27 August 2008

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930802045788

zbMATH Keywords

heat equationconvexitystarlikenessunivalencesemigroups of linear operatorsLaplace equationpartial differential equationsspirallikenesscomplex singular integralscomplex spatial variables

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Groups and semigroups of linear operators (47D03) (C)-semigroups, regularized semigroups (47D60)

Related Items (9)

Nonlinear wave equations from a non-local complex backward–forward derivative operator ⋮ Approximation by convolution polyanalytic operators in the complex and quaternionic compact unit balls ⋮ Wave and telegraph equations with real time variable and complex spatial variables ⋮ Higher-order heat and Laplace-type equations with real time variable and complex spatial variable ⋮ Schrödinger type equations with real-time variable and complex spatial variables ⋮ Unnamed Item ⋮ Burgers and Black–Merton–Scholes equations with real time variable and complex spatial variable ⋮ Pseudo-differential operators with meromorphic symbols and systems of complex differential equations ⋮ Stochastic solutions for time-fractional heat equations with complex spatial variables

Cites Work

• Divergent solutions of the heat equation: On an article of Lutz, Miyake and Schäfke
• Formal power series solutions of the heat equation in one spatial variable

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