Green's function for the anisotropic hyperbolic heat equation in bounded spatial and temporal domains

DOI10.1007/S40574-020-00264-3zbMath1483.35263OpenAlexW3128630573WikidataQ115600569 ScholiaQ115600569MaRDI QIDQ2051027

Yanyan Li

Publication date: 1 September 2021

Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40574-020-00264-3

zbMATH Keywords

Green's functiondifferential operatorsfunctional spaceshyperbolic heat equationSchwartz-Laplace transform

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Laplace transform (44A10) Applications of functional analysis to differential and integral equations (46N20) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Fundamental solutions, Green's function methods, etc. for initial value and initial-boundary value problems involving PDEs (65M80) Diffusive and convective heat and mass transfer, heat flow (80A19)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A counterexample about the regularity of the solutions of the hyperbolic heat equation
• Théorie des distributions à valeurs vectorielles
• Théorie des distributions à valeurs vectorielles. II
• Non-Fourier analysis of skin biothermomechanics
• Espaces d'interpolation réels: Topologie et géométrie
• Green's function solution for thermal wave equation in finite bodies
• Green's function for the one-dimensional hyperbolic heat equation: remarks for global regularity
• Boundary Element Formulation for Thermal Stresses During Pulsed Laser Heating
• Thermoelasticity with Second Sound: A Review
• Regularity of solutions of the anisotropic hyperbolic heat equation with nonregular heat sources and homogeneous boundary conditions

This page was built for publication: Green's function for the anisotropic hyperbolic heat equation in bounded spatial and temporal domains