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Now showing items 1-10 of 10

#### The inverse problem of the heat equation with periodic boundary and integral overdetermination conditions

(Springer International Publishing Ag, 2013)

In this paper the inverse problem of finding the time-dependent coefficient of heat capacity together with the solution of a heat equation with periodic boundary and integral overdetermination conditions is considered. The ...

#### Generalized and numerical solution for a quasilinear parabolic equation with nonlocal conditions

(Univ Babes-Bolyai, 2015)

In this paper we study the one dimensional mixed problem with nonlocal boundary conditions for the quasilinear parabolic equation. We prove an existence uniqueness of the weak generalized solution and also continuous ...

#### Numerical solution and distinguishability in time fractional parabolic equation

(Springer International Publishing Ag, 2015)

This article deals with the mathematical analysis of the inverse problem of identifying the distinguishability of input-output mappings in the linear time fractional inhomogeneous parabolic equation D(t)(alpha)u(x t) = ...

#### Inverse Coefficient Problem for a Second-Order Elliptic Equation with Nonlocal Boundary Conditions

(Wiley, 2016)

In this research article the inverse problem of finding a time-dependent coefficient in a second-order elliptic equation is investigated. The existence and the uniqueness of the classical solution of the problem under ...

#### Determination of a diffusion coefficient in a quasilinear parabolic equation

(De Gruyter Open Ltd, 2017)

This paper investigates the inverse problem of finding the time-dependent diffusion coefficient in a quasilinear parabolic equation with the nonlocal boundary and integral overdetermination conditions. Under some natural ...

#### An Inverse Boundary Value Problem for a Second Order Elliptic Equation in a Rectangle

(Vilnius Gediminas Tech Univ, 2014)

In this paper the inverse problem of finding a coefficient in a second order elliptic equation is investigated. The conditions for the existence and uniqueness of the classical solution of the problem under consideration ...

#### Weak generalized and numerical solution for a quasilinear pseudo-parabolic equation with nonlocal boundary condition

(Springer International Publishing, 2014)

This paper investigates the one dimensional mixed problem with nonlocal boundary conditions for the quasilinear parabolic equation. Under some natural regularity and consistency conditions on the input data the existence ...

#### An inverse coefficient problem for a quasilinear parabolic equation with periodic boundary and integral overdetermination condition

(Wiley-Blackwell, 2015)

In this paper the inverse problem of finding the time-dependent coefficient of heat capacity together with the solution periodic boundary and integral overdetermination conditions is considered. Under some natural regularity ...

#### Inverse Coefficient Problem of the Parabolic Equation with Periodic Boundary and Integral Overdetermination Conditions

(Hindawi Publishing Corporation, 2013)

This paper investigates the inverse problem of finding a time-dependent diffusion coefficient in a parabolic equation with the periodic boundary and integral overdetermination conditions. Under some assumption on the data ...

#### Continuous dependence on data for a solution of the quasilinear parabolic equation with a periodic boundary condition

(Springer International Publishing Ag, 2013)

In this paper we consider a parabolic equation with a periodic boundary condition and we prove the stability of a solution on the data. We give a numerical example for the stability of the solution on the data.