[PDF] Top 20 A spectral method for the eigenvalue problem for elliptic equations
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A spectral method for the eigenvalue problem for elliptic equations
... trial functions the rate of convergence is exponential for this example. Also in each figure the ridge and the one-sided Jacobi polynomials show a faster convergence than the shifted Chebyshev polynomials. For the ... See full document
27
Eigenvalue problems for degenerate nonlinear elliptic equations in anisotropic media
... these equations is due to the presence of the singular potential a(x) in the divergence ...These equations can be often reduced to elliptic equations with Hardy singular potential (see ... See full document
21
Eigenvalue Problems and Bifurcation of Nonhomogeneous Semilinear Elliptic Equations in Exterior Strip Domains
... semilinear elliptic equations in unbounded domains,” in Nonlinear Diffusion Equations and Their Equilibrium States, II (Berkeley, CA, 1986), ... See full document
25
Sequential and continuum bifurcations in degenerate elliptic equations
... We apply our results to non-monotone eigenvalue problems, degenerate semi-linear elliptic equations, boundary value differential-algebraic equations and fully non-linear elliptic equatio[r] ... See full document
11
The eigenvalue problem for the p Laplacian like equations
... first eigenvalue of a quasilinear elliptic operator, Selected Problems of Mathematics, 50th ...Variational Method in Quasilinear Elliptic Equations, ... See full document
12
Nonlinear Evolution Equations for Second-order Spectral Problem
... Abstract—Soliton equations are infinite-dimensional integrable systems described by nonlinear evolution ...soliton equations, long wave equation takes on profound significance of theory and ...the ... See full document
8
On discontinuous Dirac operator with eigenparameter dependent boundary and two transmission conditions
... of eigenvalue dependence appearing not only in the differential equation but also in the boundary conditions have increased in recent years (see [–] and correspond- ing ...the spectral parameter are ... See full document
19
Viscous linear instability of an incompressible round jet
... governing equations in cylindrical polar ...algebraic equations. These equations represent an eigenvalue problem because, for any given value of ω only discrete α satisfy the ... See full document
33
The eigenvalue problem for a coupled system of singular p Laplacian differential equations involving fractional differential integral conditions
... effective method to deal with the existence of solutions for the boundary value problems of the fractional differen- tial ...the method of upper and lower solutions and in- vestigated the existence of ... See full document
19
Existence of four solutions for the elliptic problem with nonlinearity crossing one eigenvalue
... For the proof of Theorem . we use the Leray-Schauder degree theory, the variational reduction method and the critical point theory. The outline of this paper is as follows: In Section , we show the existence of ... See full document
15
Integrability of the Reduction Fourth-Order Eigenvalue Problem
... differential equations. In 1968, Lax put the inverse scattering method for solving the KDV equation into a more general framework which subsequently paved the way to generalizations of the technique as a ... See full document
8
A high accuracy numerical method based on spectral theory of compact operator for biharmonic eigenvalue equations
... elements method, it requires globally continuously differentiable finite element spaces, therefore, they are difficult to construct and implement (in partic- ular for three-dimensional ...element method, a ... See full document
11
Recent development in the theory of linear partial differential equations
... Differential Equations, Spectral Theory, Theory of Distributions, Pseudo-Differential Operator, Elliptic Differential KEY WORDS AND PHRASES... Opeor, Cauchy Problem.[r] ... See full document
14
Special singularity function for continuous part of the spectral data in the associated eigenvalue problem for nonlinear equations
... Various physical phenomena in engineering and physics may be described by nonlinear evolution equations. Looking for exact solutions to completely integrable equations is a difficult task. In recent years, ... See full document
13
Positivity of the infimum eigenvalue for equations of p(x)-Laplace type in RN
... The p(x)-Laplacian is a natural generalization of the p-Laplacian, where p > is a con- stant. There are a bunch of papers, for instance, [–] and references therein. But the p(x)-Laplace operator possesses more ... See full document
12
Eighteenth Order Convergent Method for Solving Non-Linear Equations
... iterative method for solving nonlinear equations of the type f(x) = 0 having eighteenth order ...Newton’s method and extrapolated Newton’s method. This method is compared with the ... See full document
7
A Method for Building Mathematical Models of the Slab
... the control of the temperature field in the slab when only measuring the temperature in the furnace, is a highly applicable problem in many industries. In order to control the temperature of the slab, it is ... See full document
5
Asymptotic Formulas of the Solutions and the Trace Formulas for the Polynomial Pencil of the Sturm Liouville Operators
... [2] Yordanov, R. (1984) About Some Spectral Properties of the Schrödinger Equation with an Energy Dependent Potential Generating Fully Integrable Hamiltonian Systems. Annals de L ’ Universite de Sofia “ Kliment ... See full document
7
Asymptotically radial solutions to an elliptic problem on expanding annular domains in Riemannian manifolds with radial symmetry
... with r(x) equal to the distance to the origin. The radial solution always exists for any p > , it is unique and radially non-degenerate. This result is shown in [] by Ni and Nussbaum. We would like also to mention ... See full document
25
Dirichlet problem for divergence form elliptic equations with discontinuous coefficients
... where the dependence of the constant C on the data of the problem is fully determined. More recently, in [], supposing that the coefficients of lower-order terms are as in [] for n ≥ and as in [] for n = , we ... See full document
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