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[PDF] Top 20 The well-posedness of an anisotropic parabolic equation based on the partial boundary value condition

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The well-posedness of an anisotropic parabolic equation based on the partial boundary value condition

The well-posedness of an anisotropic parabolic equation based on the partial boundary value condition

... elliptic equation containing a singular potential in ...nonlinear anisotropic problems with bounded Radon diffuse measure and variable exponent in ... See full document

14

The boundary value condition of an evolutionary \(p(x)\)-Laplacian equation

The boundary value condition of an evolutionary \(p(x)\)-Laplacian equation

... suitable boundary value condition of ...suitable boundary value condition related to ...the posedness of the solutions to (.), instead of the whole boundary ... See full document

24

On the stability of the equation with a partial boundary value condition

On the stability of the equation with a partial boundary value condition

... the equation with the hyperbolic characteristic, and the uniqueness of the usual weak solution is not ...measured value solution) is so weak that it lacks the regularity to ensure the stability or the ... See full document

13

The stability of the anisotropic parabolic equation with the variable exponent

The stability of the anisotropic parabolic equation with the variable exponent

... p(x)-Laplacian equation, the anisotropic parabolic equation is considered in this ...the anisotropic character, it admits that there are different diffusion coefficients corresponding to ... See full document

14

Boundary-value Problems with Non-local Initial Condition for Parabolic Equations with Parameter

Boundary-value Problems with Non-local Initial Condition for Parabolic Equations with Parameter

... type partial differential equation of second ...some boundary-value problems with non-local initial condition for model and degenerate parabolic equations with parameter were ... See full document

10

On the evolutionary p Laplacian equation with a partial boundary value condition

On the evolutionary p Laplacian equation with a partial boundary value condition

... the boundary value condition. A reasonable partial boundary value condition is proposed for the first time, the stability of the weak solu- tions based on this ... See full document

18

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

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

... a parabolic partial differential equation from the over-specified data plays a crucial role in applied mathematics and ...techniques based on regularization, finite differences, finite ele- ... See full document

20

Well-posedness of a parabolic equation with nonlocal boundary condition

Well-posedness of a parabolic equation with nonlocal boundary condition

... a parabolic equation with nonlocal condition can be ...various boundary conditions for a wide class of opera- tors have been investigated in papers ...of partial differential equations ... See full document

11

On stability with respect to boundary conditions for anisotropic parabolic equations with variable exponents

On stability with respect to boundary conditions for anisotropic parabolic equations with variable exponents

... the boundary value condition rather than define the Fichera function was formulated by Yin and Wang ...since equation (1.4) is anisotropic and with the variable exponents, the method of ... See full document

18

On a weak solution matching up with the double degenerate parabolic equation

On a weak solution matching up with the double degenerate parabolic equation

... initial value (1.4) can be true, the boundary value condition ...the well-posedness problem of equation ...the boundary (1.7) may take the place for the Dirichlet ... See full document

13

On the Inverse Problem of Dupire’s Equation with Nonlocal Boundary and Integral Conditions

On the Inverse Problem of Dupire’s Equation with Nonlocal Boundary and Integral Conditions

... heat equation. Black-Scholes PDE, even though explicitly not a heat equation, can be trans- formed into a heat equation like the above with suitable transformation of va- ...heat equation is ... See full document

7

On the distribution of the error of an interpolated value, and on the construction of tables

On the distribution of the error of an interpolated value, and on the construction of tables

... When we turn to examine not merely the variance but the form of the distribution of the error in the interpolate, a normally distributed tabular error is seen to have an added advantage [r] ... See full document

10

Vol 5, No 3 (2014)

Vol 5, No 3 (2014)

... In this paper we define an implicit method for solving the singularly perturbed convection – diffusion parabolic partial differential equation produces very high accuracy compared with the other ... See full document

5

An Introduction to Numerical Methods for the Solutions of Partial Differential Equations

An Introduction to Numerical Methods for the Solutions of Partial Differential Equations

... as well as a basis for the de- velopment of displacement finite element models that can be used to determine approximate displacement and stress fields in the ... See full document

12

Initial boundary value problem with a nonlocal condition for 
            a viscosity equation

Initial boundary value problem with a nonlocal condition for a viscosity equation

... 1. Formulation of the problem. In this paper, we deal with a class of hyperbolic equations with time- and space-variable characteristics, with a nonlocal boundary condition. The precise statement of the ... See full document

12

Well-posedness of a boundary value problem for a class of third-order operator-differential equations

Well-posedness of a boundary value problem for a class of third-order operator-differential equations

... equation (.). Mirzoev [] was the first who paid detailed attention to such relation (for more details about the calculation of the norms of intermediate derivatives operators, see []). To estimate these ... See full document

15

Local well-posedness for periodic Benjamin equation with small initial data

Local well-posedness for periodic Benjamin equation with small initial data

... local well-posedness of the periodic Benjamin equation with small initial value in H s (T), s ≥ –1/2, is ...local well-posedness by the Picard ... See full document

15

On the well-posedness of generalized Darcy–Forchheimer equation

On the well-posedness of generalized Darcy–Forchheimer equation

... In this article, we establish the well-posedness of (2)–(4). Our technique of proof is sim- ilar to the one in [20] with some necessary modifications due to the nature of the nonlinear term. We now state our ... See full document

17

Initial boundary value problems for second order parabolic systems in cylinders with polyhedral base

Initial boundary value problems for second order parabolic systems in cylinders with polyhedral base

... Boundary value problems for partial differential equations and systems in nonsmooth domains have been attracted attentions of many mathematicians for more than last 50 ...initial boundary ... See full document

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