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[PDF] Top 20 Identification of the unknown boundary condition in a linear parabolic equation

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Identification of the unknown boundary condition in a linear parabolic equation

Identification of the unknown boundary condition in a linear parabolic equation

... Let us denote a semigroup of linear operators by T(t) generated by the operator –A [, ]. We can easily find the eigenvalues and eigenfunctions of the differential opera- tor A. Moreover, the semigroup T(t) can be ... See full document

7

Identification of the unknown diffusion coefficient in a linear parabolic equation via semigroup approach

Identification of the unknown diffusion coefficient in a linear parabolic equation via semigroup approach

... The parabolic equation in () is the mathematical model for various physical and chem- ical events, such as solute transport in a porous medium, where the dependent variable u(x, t) denotes a solute ... See full document

8

Semigroup approach for identification of the unknown diffusion coefficient in a linear parabolic equation with mixed output data

Semigroup approach for identification of the unknown diffusion coefficient in a linear parabolic equation with mixed output data

... Denote by S(t) the semigroup of linear operators generated by the operator –A [, ]. As in the previous section, we can easily find the eigenvalues and eigenfunctions of the differential operator B. Furthermore, ... See full document

12

Identification of the unknown coefficient in a quasi linear parabolic equation by a semigroup approach

Identification of the unknown coefficient in a quasi linear parabolic equation by a semigroup approach

... of linear operators generated by the operator –A [, ...initial boundary value problem () possesses the property of uniqueness of its solutions, then the solution v h (x, t) of its ... See full document

7

Determination of the unknown boundary condition of the inverse parabolic problems via semigroup method

Determination of the unknown boundary condition of the inverse parabolic problems via semigroup method

... Let us denote the semigroup of linear operators by S(t) generated by the operator B [, ]. We can easily find the eigenvalues and eigenfunctions of the differential opera- tor B. Moreover, the semigroup S(t) can be ... See full document

7

Solving an inverse problem for a parabolic equation with a nonlocal boundary condition in the reproducing kernel space

Solving an inverse problem for a parabolic equation with a nonlocal boundary condition in the reproducing kernel space

... determining unknown solution and un- known control parameter of the parabolic inverse problem with nonlocal boundary and integral over-specified conditions based on the reproducing kernel space, is ... See full document

20

On the solvability of parabolic and hyperbolic
problems with a boundary integral condition

On the solvability of parabolic and hyperbolic problems with a boundary integral condition

... certain parabolic and hyperbolic equations with a boundary inte- gral ...the linear operator associated to the abstract formulation of the studied ... See full document

13

Inverse problem for a time fractional parabolic equation

Inverse problem for a time fractional parabolic equation

... determining unknown coefficient in a linear parabolic equation by using over-measured data has generated increasing interest from engineers and scien- tists during the last few ...recovering ... See full document

9

Blow up problems for a degenerate parabolic equation with nonlocal source and nonlocal nonlinear boundary condition

Blow up problems for a degenerate parabolic equation with nonlocal source and nonlocal nonlinear boundary condition

... into parabolic equations which are coupled with nonlocal boundary conditions in mathematical modeling such as thermoelasticity theory (see ...nonlocal boundary conditions for linear ... See full document

14

Implementation of Sinc-Galerkin on Parabolic Inverse problem with unknown boundary ‎condition‎

Implementation of Sinc-Galerkin on Parabolic Inverse problem with unknown boundary ‎condition‎

... an unknown boundary condition, in a nonlinaer inverse diffusion problem is ...of linear equation, a noise is imposed and Tikhonove regularization is ... See full document

7

Solution to a parabolic equation with integral type boundary condition

Solution to a parabolic equation with integral type boundary condition

... A Boundary Value Problem in the Theory of Heat Conduction with a non-Classical Boundary Condition, Zh.. N., Linear and :uasilinear Equations of Parabolic Type, Vol.[r] ... See full document

7

Global Existence and Blow-Up of Solutions for a Quasilinear Parabolic Equation with Absorption and Nonlinear Boundary Condition

Global Existence and Blow-Up of Solutions for a Quasilinear Parabolic Equation with Absorption and Nonlinear Boundary Condition

... Abstract. This paper deals with the evolution r-Laplacian equation with absorption and nonlinear boundary condition. By using differential inequality techniques, global existence and blow-up criteria ... See full document

7

A Quasilinear Parabolic System with Nonlocal Boundary Condition

A Quasilinear Parabolic System with Nonlocal Boundary Condition

... We investigate the blow-up properties of the positive solutions to a quasilinear parabolic system with nonlocal boundary condition. We first give the criteria for finite time blowup or global ... See full document

18

Singularity analysis for a semilinear integro differential equation with nonlinear memory boundary

Singularity analysis for a semilinear integro differential equation with nonlinear memory boundary

... is the sub-solution of (.). We know from Theorem . of [] and Theorem . of [] that if λ >  the solution of this first initial boundary value problem blows up in finite time for any nonnegative nontrivial ... See full document

17

Fast computation of the nonlocal boundary condition in finite difference parabolic equation radiowave propagation simulations

Fast computation of the nonlocal boundary condition in finite difference parabolic equation radiowave propagation simulations

... The non-local BC [1, 8-10] is an exact BC that does not require the use of additional computation space in the form of absorbing layers. However, it has the disadvantage of the presence of a spatial convolution integral ... See full document

9

Study of the First Boundary Value Problem for a Fourth Order Parabolic Equation in a Nonregular Domain of

Study of the First Boundary Value Problem for a Fourth Order Parabolic Equation in a Nonregular Domain of

... order parabolic equation, set in a nonregular domain of R 3 obtained in [1], to the case where the domain is cylindrical, not with respect to the time variable, but with respect to N space variables, N > ... See full document

13

Existence and uniqueness of solutions for the Schrödinger integrable boundary value problem

Existence and uniqueness of solutions for the Schrödinger integrable boundary value problem

... integrable boundary value condition, the existence and uniqueness of the solutions of this equation are discussed by using new Riesz representations of linear maps and the Schrödinger fixed ... See full document

13

The boundary degeneracy theory of a strongly degenerate parabolic equation

The boundary degeneracy theory of a strongly degenerate parabolic equation

... both {  } × and . Then the problem (.)-(.)-(.) would be overdetermined if (.) was assumed in the classical sense. Thus one needs to work within a suitable framework of entropy solutions and entropy ... See full document

36

Homogeneous Dirichlet condition of an anisotropic degenerate parabolic equation

Homogeneous Dirichlet condition of an anisotropic degenerate parabolic equation

... According to Fichera-Ole˘ınik theory, we know that we can give the Dirichlet homoge- neous boundary condition (.). For equation (.), if the domain = {  < τ < T,  < ξ < X,  < η ... See full document

21

Stable Derivative Free Error Corrected Trapezoidal Rule for Burgers&#039; Equation with Inconsistent Initial and Boundary Conditions

Stable Derivative Free Error Corrected Trapezoidal Rule for Burgers' Equation with Inconsistent Initial and Boundary Conditions

... Burgers’ equation has been found to describe various kinds of phenomena such as a mathematical model of turbulence and the approximate theory of flow through a shock wave traveling in a viscous ...The ... See full document

14

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