Higher-order heat and Laplace-type equations with real time variable and complex spatial variable

DOI10.1080/17476930903276175zbMath1198.47087OpenAlexW2144568933MaRDI QIDQ3558516

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

Publication date: 5 May 2010

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

Full work available at URL: https://doi.org/10.1080/17476930903276175

zbMATH Keywords

convexitystarlikenessunivalencesemigroups of linear operatorspartial differential equationsspirallikenesscomplex singular integralscomplex spatial variablehigher-order heat equationhigher-order Laplace-type equation

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) Applications of operator theory to differential and integral equations (47N20) Higher-order parabolic equations (35K25) (C)-semigroups, regularized semigroups (47D60) Initial-boundary value problems for higher-order parabolic systems (35K52)

Related Items (3)

Schrödinger type equations with real-time variable and complex spatial variables ⋮ 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

Cites Work

• A representation theory for solutions of a higher order heat equation. I
• A representation theory for solutions of a higher order heat equation. II
• An initial value problem for a class of higher order partial differential equations related to the heat equation
• Evolution equations with real time variable and complex spatial variables

This page was built for publication: Higher-order heat and Laplace-type equations with real time variable and complex spatial variable