Heat equation with memory in anisotropic and non-homogeneous media
From MaRDI portal
Publication:2430899
DOI10.1007/s10114-010-0077-1zbMath1209.35057OpenAlexW2137684886MaRDI QIDQ2430899
Publication date: 8 April 2011
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-010-0077-1
Integro-partial differential equations (45K05) Heat equation (35K05) Wave equation (35L05) Foundations of thermodynamics and heat transfer (80A05)
Related Items
Equivalence of three kinds of optimal control problems for linear heat equations with memory, On a fractional reaction-diffusion equation, Null controllability for wave equations with memory, Observability inequality for the Kirchhoff-Rayleigh plate like equation in a short time, Integral-type approximate controllability of linear parabolic integro-differential equations, Controllability of Evolution Equations with Memory, Optimal Control Problems of Forward-Backward Stochastic Volterra Integral Equations with Closed Control Regions, Stability of a viscoelastic Timoshenko system with non-monotonic kernel, Perturbations of Time Optimal Control Problems for Parabolic Integro-Differential Equations, Approximate and null controllability for the multidimensional Coleman-Gurtin model, Thermoelastic problem in the setting of dual-phase-lag heat conduction: existence and uniqueness of a weak solution, Minimal time control problem of a linear heat equation with memory, Controllability and observability of a heat equation with hyperbolic memory kernel
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On evolution equations with finite propagation speed
- \(L^ 2\)-regularity for parabolic partial integrodifferential equations with delay in the highest-order derivatives
- Wave propagation for linear integrodifferential equations in Banach space
- Uniqueness and non-uniqueness in the Cauchy problem
- An integrodifferential equation for rigid heat conductors with memory
- On propagation speed of evolution equations
- Generalized Fourier law
- A general theory of heat conduction with finite wave speeds
- An abstract Volterra equation with applications to linear viscoelasticity
- Wave propagation aspects of the generalized theory of heat conduction
- Linear hyperbolic partial differential equation with constant coefficients
- Optimal control for quasilinear retarded parabolic systems
- Speed of Propagation of Solutions of a Linear Integro-differential Equation with Nonconstant Coefficients
- Existence and regularity for linear delay partial differential equations
- Energy inequalities and finite propagation speed of the Cauchy problem for hyperbolic equations withconstantly multiple characteristics
- On the Linear Theory of Heat Conduction for Materials with Memory
- On the Speed of Propagation of Solutions of Integrodifferential Equations
- Evolutionary Integral Equations and Applications
- On heat conduction in materials with memory
- A hyperbolic Stefan problem
