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Robin boundary condition

Sixth order finite difference scheme for the Helmholtz equation with inhomogeneous Robin boundary condition

Sixth order finite difference scheme for the Helmholtz equation with inhomogeneous Robin boundary condition

... In this paper, by applying the one-sided approximation of the derivative and Taylor expan- sion carefully, we derive the sixth-order scheme for the inhomogeneous Robin boundary condition (5), by ...

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Lyapunov type inequalities for quasilinear elliptic equations with Robin boundary condition

Lyapunov type inequalities for quasilinear elliptic equations with Robin boundary condition

... Here, we also note that in the study Cañada et al. they proved that the relation between the p and N  plays a crucial role. They also considered the equation in (.) with zero Dirichlet boundary ...

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Blow-up Phenomena for a Class of Degenerate Parabolic Problems under Robin Boundary Condition

Blow-up Phenomena for a Class of Degenerate Parabolic Problems under Robin Boundary Condition

... In this paper, by constructing some appropriate auxiliary functions and using first order differential inequalities technique we investigate the more general problem (3)-(5). In section 2, we develop a su ffi cient ...

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GENERAL QUASILINEAR PROBLEMS INVOLVING \(p(x)\)-LAPLACIAN WITH ROBIN BOUNDARY CONDITION

GENERAL QUASILINEAR PROBLEMS INVOLVING \(p(x)\)-LAPLACIAN WITH ROBIN BOUNDARY CONDITION

... 25. Pfl¨ uger K. Existence and multiplicity of solutions to a p-Laplacian equation with nonlinear boundary condition. Electron. J. Differential Equations, 1998. Vol. 1998, No. 10. P. 1–13. ...

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Nonlinear nonhomogeneous Robin problems with dependence on the gradient

Nonlinear nonhomogeneous Robin problems with dependence on the gradient

... We consider a nonlinear elliptic equation driven by a nonhomogeneous partial differential operator with Robin boundary condition and a convection term. Using a topological approach based on the ...

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Homogenization of an Optimal Control Problem in Fixed Domains

Homogenization of an Optimal Control Problem in Fixed Domains

... As for the homogenization of optimal control problems governed by a linear elliptic equation with linear Robin boundary condition on perforated domains via PUM by considering two types of cost ...

5

Multiple blowing-up and concentrating solutions for Liouville-type equations with singular sources under mixed boundary conditions

Multiple blowing-up and concentrating solutions for Liouville-type equations with singular sources under mixed boundary conditions

... with Robin boundary condition instead of Dirichlet boundary condition if necessary (see [34,38] and the references therein), the proof can be similarly given through those in [[26], ...

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A Quasilinear Parabolic System with Nonlocal Boundary Condition

A Quasilinear Parabolic System with Nonlocal Boundary Condition

... local boundary conditions, say Dirichlet, Neumann, or Robin boundary condition, which can be used to describe heat propagation on the boundary of container see the survey papers 2, 3 ...

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Eigenstructure of the equilateral triangle  Part III  The Robin problem

Eigenstructure of the equilateral triangle Part III The Robin problem

... the Robin boundary ...with Robin boundary conditions because of the attendant complexity of the transcendental equations which so ...of Robin eigen- functions of the Laplacian on an ...

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Simultaneous numerical determination of a corroded boundary and its admittance

Simultaneous numerical determination of a corroded boundary and its admittance

... homogeneous Robin boundary condition and, based on Newton’s law of cooling, it expresses that the ambient effects (thermal or electrostatic) are uniform and, for simplicity, taken to be ...

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An Expansion of Boundary Theory and the Application of Joint Condition

An Expansion of Boundary Theory and the Application of Joint Condition

... (EIS is a representative value selected from EI i arbitrary, the bending stiffness of any paragraphs) Besides can easily satisfy the 2 BC.s suggested by Timoshenko ensuring an accuracy of certain degree, the application ...

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Uniqueness and stability of solutions without the boundary condition

Uniqueness and stability of solutions without the boundary condition

... A parabolic equation related to the p-Laplacian is considered. If the equation is degenerate on the boundary, then demonstrating the regularity on the boundary is difficult, the trace on the boundary ...

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The Diffraction by the Half-Plane with the Fractional Boundary Condition

The Diffraction by the Half-Plane with the Fractional Boundary Condition

... In this article, the plane wave diffraction by the half-plane with fractional boundary conditions is considered. The results for the marginal values of the fractional order are in good agreement with the results ...

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On inverse boundary-condition problems in radiative transfer

On inverse boundary-condition problems in radiative transfer

... We start this section by reporting some observations in regard to the numerical aspects of our solu- tion. By monitoring the condition number estimates returned by DGECO, we have found, for the sample calculations ...

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Global Existence of Solutions of the Gierer Meinhardt System with Mixed Boundary Conditions

Global Existence of Solutions of the Gierer Meinhardt System with Mixed Boundary Conditions

... mixed boundary conditions. In the research, the Robin boundary and Neumann boundary conditions were used on the activa- tor and the inhibitor conditions ...

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Modification of the Riemann problem and the application for the boundary conditions in computational fluid dynamics

Modification of the Riemann problem and the application for the boundary conditions in computational fluid dynamics

... [13, pages 221-225], where the RIC is constructed in a spe- cial way, in order to obtain the desired solution. Using the analysis of the Riemann problem we show, that the RIC for the local problem can be partially ...

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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 boundary. If d ≤ 0 when x is near to the boundary, then the stability of the entropy solutions is proved independent of the boundary value ...the boundary can take place of the usual ...

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Explicit L2 inequalities for parabolic and pseudoparabolic equations with Neumann boundary conditions

Explicit L2 inequalities for parabolic and pseudoparabolic equations with Neumann boundary conditions

... inequalities complete a series of a priori inequalitles which are applicable to the Dirichlet and Robin boundary value problems for parabolic and pseudoparabolic operators.. A priori ine[r] ...

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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 partial boundary value ...

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

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

... To illustrate the computational performance of the LSDFECT rule and to compare its performance with CN, we consider five examples. First four examples contain inconsistent initial and boundary conditions. It is ...

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