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[PDF] Top 20 Semidiscretization for a nonlocal parabolic problem

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Semidiscretization for a nonlocal parabolic problem

Semidiscretization for a nonlocal parabolic problem

... Whereas, semidiscretization has been involved for the equations of the thermistor problem in [1, 9]. Our aim here is to continue the study of problem (1.1) initiated in [6], where an a priori L ∞ ... See full document

10

Discontinuous Parabolic Problems with a Nonlocal Initial Condition

Discontinuous Parabolic Problems with a Nonlocal Initial Condition

... We study parabolic differential equations with a discontinuous nonlinearity and subjected to a nonlocal initial condition. We are concerned with the existence of solutions in the weak sense. Our technique is ... See full document

10

Qualitative properties for a pseudo-parabolic equation with nonlocal reaction term

Qualitative properties for a pseudo-parabolic equation with nonlocal reaction term

... Nonlocal pseudo-parabolic equation like (1.1) describes a variety of physical phenom- ena, such as the seepage of homogeneous fluids through a fissured rock, the unidirectional propagation of nonlinear, ... See full document

17

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 ...the problem of nonlocal boundary conditions for ... See full document

14

On a nonlocal 1 D initial value problem for a singular fractional order parabolic equation with Bessel operator

On a nonlocal 1 D initial value problem for a singular fractional order parabolic equation with Bessel operator

... a generalized solution for a singular fractional initial boundary value problem in the Caputo sense subject to Neumann and weighted integral conditions. We show that a priori estimate or energy inequality methods ... See full document

14

Nonlocal Conditions for Lower Semicontinuous Parabolic Inclusions

Nonlocal Conditions for Lower Semicontinuous Parabolic Inclusions

... a parabolic equation with a discontinuous right hand side 7, 8 . Parabolic problems with discontinuous nonlinearities have been also investigated in the papers 9–13 ...hand, parabolic problems with ... See full document

7

A Quasilinear Parabolic System with Nonlocal Boundary Condition

A Quasilinear Parabolic System with Nonlocal Boundary Condition

... Problem 1.1 − 1.3 models a variety of physical phenomena such as the absorption and “downward infiltration” of a fluid e.g., water by the porous medium with an internal localized source or in the study of ... See full document

18

Horizontal Diffraction in Multiple Obstacles Using Parabolic Equation with Recursive Convolution Nonlocal Boundary Conditions

Horizontal Diffraction in Multiple Obstacles Using Parabolic Equation with Recursive Convolution Nonlocal Boundary Conditions

... convolution nonlocal boundary conditions (RC- NLBC) to calculate the diffraction loss in multiple ...difference parabolic equation model (FD-PEM) to predict the propagation loss of horizontal ... See full document

9

A third order nonlocal problem with nonlocal conditions

A third order nonlocal problem with nonlocal conditions

... the nonlocal prob- lems with integral conditions. This type of nonlocal boundary value problems has been investigated in [1, 2, 3, 4, 5, 6, 8] for parabolic equations and in [7, 10] for hyperbolic ... See full document

5

Blow-up for a parabolic system with nonlocal sources and nonlocal boundary conditions

Blow-up for a parabolic system with nonlocal sources and nonlocal boundary conditions

... The existence of positive classical solutions of (.) local in time can be obtained by using the fixed point theorem in [], and the representation formula and the contraction mapping principle as in []. By the above ... See full document

14

On Comparison Principles for Parabolic Equations with Nonlocal Boundary Conditions

On Comparison Principles for Parabolic Equations with Nonlocal Boundary Conditions

... for parabolic problems is the base of comparison principle which is important in monotonic methods used for these ...on nonlocal problems. Earlier works on problems with nonlocal boundary conditions ... See full document

10

Blowup Analysis for a Semilinear Parabolic System with Nonlocal Boundary Condition

Blowup Analysis for a Semilinear Parabolic System with Nonlocal Boundary Condition

... On the other hand, there are a number of important phenomena modeled by parabolic equations coupled with nonlocal boundary condition of form 1.2. In this case, the solution could be used to describe the ... See full document

14

The nonlocal inverse problem of the identification of the lowest coefficient and the right-hand side in a second-order parabolic equation with integral conditions

The nonlocal inverse problem of the identification of the lowest coefficient and the right-hand side in a second-order parabolic equation with integral conditions

... a nonlocal inverse boundary-value problem for a second-order parabolic equation is ...second-order parabolic equation on overdetermination at the internal ...inverse problem of a ... See full document

19

Blow up for a degenerate and singular parabolic equation with a nonlocal source

Blow up for a degenerate and singular parabolic equation with a nonlocal source

... This article studies the blow-up phenomenon for a degenerate and singular parabolic problem. Conditions for the local and global existence of solutions for the problem are given. In the case that ... See full document

15

An inverse coefficient problem for a quasilinear parabolic equation with nonlocal boundary conditions

An inverse coefficient problem for a quasilinear parabolic equation with nonlocal boundary conditions

... The paper is organized as follows. In Section , the existence and uniqueness of the solution of inverse problem ()-() is proved by using the Fourier method and the iteration method. In Section , the continuous ... See full document

17

A nonlocal parabolic system with application to a thermoelastic problem

A nonlocal parabolic system with application to a thermoelastic problem

... The problem is first transformed into an equivalent nonlocal parabolic systems using a transformation, and then the existence and uniqueness of the solutions are demonstrated via the theo- retical ... See full document

13

Remarks on weak solutions for a nonlocal parabolic problem

Remarks on weak solutions for a nonlocal parabolic problem

... We prove a result on existence and uniqueness of weak solutions for a diffusion prob- lem associated with nonlinear diffusions of nonlocal type studied by Chipot and Lovat (1999) by an application of the fixed point ... See full document

10

Coefficient Determination in Parabolic Equations Solved as a Moment Problem Two Dimensional in a Rectangular Domain

Coefficient Determination in Parabolic Equations Solved as a Moment Problem Two Dimensional in a Rectangular Domain

... This problem is studied in ...inverse problem of simultaneously determining the time-dependent thermal diffusivity and the temperature distribution in a parabolic equation in the case of ... See full document

17

Well-posedness of a parabolic equation with nonlocal boundary condition

Well-posedness of a parabolic equation with nonlocal boundary condition

... modeling, parabolic equations are used together with boundary conditions specifying the solution on the boundary of the ...as nonlocal boundary conditions and reflect situations when the data on the domain ... See full document

11

An inverse problem for a quasilinear parabolic equation with nonlocal boundary and overdetermination conditions

An inverse problem for a quasilinear parabolic equation with nonlocal boundary and overdetermination conditions

... inverse problem of finding the time-dependent coefficient of heat capacity together with the solution of heat equation with nonlocal boundary conditions is ...inverse problem are presented with an ... See full document

16

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