Inverse Source Problem for the Subdiffusion Equation on a Metric Star Graph with Integral Overdetermination Condition

DOI10.1134/S1995080223120326MaRDI QIDQ6497310

Publication date: 6 May 2024

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Inverse problems for PDEs (35R30) Fractional partial differential equations (35R11) Initial-boundary value problems for second-order parabolic systems (35K51) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Cites Work

Unnamed Item
Unnamed Item
On the solvability of the inverse problem for determining the right-hand side of a degenerate parabolic equation with integral observation
Inverse problem for a nonlinear Benney-Luke type integro-differential equations with degenerate kernel
A priori estimates for solutions of boundary value problems for fractional-order equations
Inverse problems for quantum trees
Graph Laplacians and topology
On the semi-discretization of optimal control problems for networks of elastic strings: Global optimality systems and domain decomposition
An algorithm for source reconstruction in nonlinear shallow-water equations
Galerkin method for time fractional diffusion equations
Inverse boundary value problem for a fractional differential equations of mixed type with integral redefinition conditions
Unique solvability of a boundary value problem for a loaded fractional parabolic-hyperbolic equation with nonlinear terms
An inverse problem for quantum trees with observations at interior vertices
An inverse problem of determining orders of systems of fractional pseudo-differential equations
Time-dependent source identification problem for fractional Schrödinger type equations
Nonlinear optimal control of thermal processes in a nonlinear inverse problem
An algorithm for recovering the characteristics of the initial state of supernova
Mathematical modeling of the Wuhan COVID-2019 epidemic and inverse problems
Inverse problem of determining the heat source density for the subdiffusion equation
Time-fractional diffusion equation in the fractional Sobolev spaces
On the inverse problem of determining the right-hand side of a parabolic equation under an integral overdetermination condition
Linearized KdV equation on a metric graph
Some Compactness Criteria for Weak Solutions of Time Fractional PDEs
On an inverse problem for tree-like networks of elastic strings
Approximation of quantum graph vertex couplings by scaled Schrödinger operators on thin branched manifolds
Inverse problem for a parabolic equation with integral overdetermination
Sensitivity analysis and practical identifiability of some mathematical models in biology
Time-Fractional Differential Equations
Inverse spectral problem for quantum graphs
Parabolic Differential-Algebraic Models in Electrical Network Design
Inverse problem for an integrodifferential equation of the hyperbolic type in a rectangular domain
Variational Formulation and A Priori Estimates for the Galerkin Method for a Fractional Diffusion Equation
Optimal control problems of parabolic fractional Sturm-Liouville equations in a star graph

This page was built for publication: Inverse Source Problem for the Subdiffusion Equation on a Metric Star Graph with Integral Overdetermination Condition