An evolution problem in materials with fading memory: solution's existence and uniqueness

DOI10.1080/17476931003786667zbMath1221.35428OpenAlexW1982866601MaRDI QIDQ3013908

Sandra Carillo

Publication date: 19 July 2011

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

Full work available at URL: https://doi.org/10.1080/17476931003786667

zbMATH Keywords

Fourier transformsinitial boundary value problemVolterra type kernel

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Linear constitutive equations for materials with memory (74D05) Volterra integral equations (45D05) Linear integral equations (45A05) Integro-partial differential equations (35R09)

Related Items (4)

Regular and singular kernel problems in magneto-viscoelasticity ⋮ Viscoelastic fluids: free energies, differential problems and asymptotic behaviour ⋮ Heat conduction with memory: a singular kernel problem ⋮ Some remarks on the model of rigid heat conductor with memory: unbounded heat relaxation function

Cites Work

• On rigid linear heat conductors with memory
• On thermodynamics and the stability of motions of material with memory
• The concept of a minimal state in viscoelasticity: new free energies and applications to PDEs
• A general theory of heat conduction with finite wave speeds
• Constitutive equations for thermomechanical materials with memory
• Nonlinear Hyperbolic Equations and Linear Heat Conduction with Memory
• Thermal work and minimum free energy in a heat conductor with memory
• Some Remarks on Materials with Memory: Heat Conduction and Viscoelasticity

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