Determining the memory kernel from a fixed point measurement data for a parabolic equation with memory effect
type: Item
instance of: scholarly article
title: Determining the memory kernel from a fixed point measurement data for a parabolic equation with memory effect
zbMATH Open document ID: 1394.35583
author: Bin Wu
author: Jun Yu
author: Zewen Wang
author: Si-Yuan Wu
published in: Computational and Applied Mathematics
publication date: 2018-08-02T00:00:00Z
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 35L05
Mathematics Subject Classification ID: 35L10
Mathematics Subject Classification ID: 35R09
zbMATH DE Number: 6912494
zbMATH Keywords: integro-differential equation
zbMATH Keywords: inverse problem
zbMATH Keywords: convolution kernel
zbMATH Keywords: memory effect
zbMATH Keywords: existence and uniqueness
MaRDI profile type: Publication
full work available at URL: s40314-017-0427-z
OpenAlex ID: W2591216858
cites work: Q4254467
cites work: Construction of a class of integral models for heat flow in materials with memory
cites work: Stefan and Hele-Shaw type models as asymptotic limits of the phase-field equations
cites work: Well-posedness of the weak formulation for the phase-field model with memory
cites work: Q3412726
cites work: An inverse problem for a parabolic integrodifferential model in the theory of combustion
cites work: An inverse problem for the strongly damped wave equation with memory
cites work: A GLOBAL IN TIME EXISTENCE AND UNIQUENESS RESULT FOR A SEMILINEAR INTEGRODIFFERENTIAL PARABOLIC INVERSE PROBLEM IN SOBOLEV SPACES
cites work: Identification of the memory kernel in the strongly damped wave equation by a flux condition
cites work: Q4456997
cites work: Identification of two memory kernels and the time dependence of the heat source for a parabolic conserved phase‐field model
cites work: On a Finite Difference Scheme for an Inverse Integro-Differential Problem Using Semigroup Theory: A Functional Analytic Approach
cites work: Reconstruction of a convolution kernel in a semilinear parabolic problem based on a global measurement
cites work: Error analysis in the reconstruction of a convolution kernel in a semilinear parabolic problem with integral overdetermination
cites work: Memory driven instability in a diffusion process
cites work: Lack of controllability of the heat equation with memory
cites work: Recovering memory kernels in parabolic transmission problems
cites work: Null controllability of nonlinear heat equation with memory effects
cites work: An identification problem with evolution on the boundary of parabolic type
cites work: Identification of two memory kernels in a fully hyperbolic phase-field system
cites work: Q5491528
DOI: 10.1007/S40314-017-0427-Z
description: scientific article; zbMATH DE number 6912494