Regularity of solutions of the anisotropic hyperbolic heat equation with nonregular heat sources and homogeneous boundary conditions

DOI10.3906/mat-1502-9zbMath1438.35263OpenAlexW2616919652MaRDI QIDQ4633283

Macarena Trujillo, Juan A. López Molina

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1502-9

zbMATH Keywords

Sobolev spacesanisotropic hyperbolic heat equationintegral transforms of vector-valued distributions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Initial-boundary value problems for second-order hyperbolic equations (35L20) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (3)

A counterexample about the regularity of the solutions of the hyperbolic heat equation ⋮ Green's function for the one-dimensional hyperbolic heat equation: remarks for global regularity ⋮ Green's function for the anisotropic hyperbolic heat equation in bounded spatial and temporal domains

Cites Work

• A counterexample about the regularity of the solutions of the hyperbolic heat equation
• Propagation and reflection of thermal waves in a finite medium
• Théorie des distributions à valeurs vectorielles
• Propagation and reflection of thermal waves in a finite medium due to axisymmetric surface sources
• Thermoelasticity with Second Sound: A Review
• Inversion Formulas for the Distributional Laplace Transformation
• Intermediate spaces and interpolation, the complex method
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