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Displaying 121 – 140 of 178

On the nodal set of the second eigenfunction of the laplacian in symmetric domains in $R^{N}$

Lucio Damascelli (2000)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We present a simple proof of the fact that if $Ω$ is a bounded domain in $R^{N}$ , $N \geq 2$ , which is convex and symmetric with respect to $k$ orthogonal directions, $1 \leq k \leq N$ , then the nodal sets of the eigenfunctions of the laplacian corresponding to the eigenvalues $λ_{2}, \dots, λ_{k + 1}$ must intersect the boundary. This result was proved by Payne in the case $N = 2$ for the second eigenfunction, and by other authors in the case of convex domains in the plane, again for the second eigenfunction.

On the non-convergence of successive approximations in the Darboux problem for the equation $z_{x y}^{''} = f (x, y, z)$

M. Kisielewicz (1977)

Colloquium Mathematicae

On the nonconvergence of successive approximations in the theory of the equation $z "_{x y} = f (x, y, z, z_{x}^{'}, z_{y}^{'})$

Michał Kisielewicz (1979)

Annales Polonici Mathematici

On the number of nodal solutions for a nonlinear elliptic problem on symmetric Riemannian manifolds.

Ghimenti, Marco, Micheletti, Anna Maria (2010)

Electronic Journal of Differential Equations (EJDE) [electronic only]

On the operator $\oplus_{B}^{k}$ related to Bessel heat equation.

Satsanit, Wanchak (2010)

Mathematical Problems in Engineering

On the Operator Solutions of Difference Equations

Đurđica Takači, Arpad Takači (1996)

Publications de l'Institut Mathématique

On the $(p, q)$ -growth of entire function solutions of Helmholtz equation.

Kumar, Devendra (2011)

The Journal of Nonlinear Sciences and its Applications

On the periodic KdV equation in weighted Sobolev spaces

Thomas Kappeler, Jürgen Pöschel (2009)

Annales de l'I.H.P. Analyse non linéaire

On the persistence of decorrelation in the theory of wave turbulence

Anne-Sophie de Suzzoni (2013)

Journées Équations aux dérivées partielles

We study the statistical properties of the solutions of the Kadomstev-Petviashvili equations (KP-I and KP-II) on the torus when the initial datum is a random variable. We give ourselves a random variable $u_{0}$ with values in the Sobolev space $H^{s}$ with $s$ big enough such that its Fourier coefficients are independent from each other. We assume that the laws of these Fourier coefficients are invariant under multiplication by $e^{i θ}$ for all $θ \in ℝ$ . We investigate about the persistence of the decorrelation between the...

On the rectifiability of domains with finite perimeter

L. A. Caffarelli, N. M. Rivière (1976)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

On the regularity for solutions of the micropolar fluid equations

Elva Ortega-Torres, Marko Rojas-Medar (2009)

Rendiconti del Seminario Matematico della Università di Padova

On the relation between the Maslov-Whitham method and the weak asymptotics method

V. G. Danilov (2010)

Banach Center Publications

We explain the relation between the weak asymptotics method introduced by the author and V. M. Shelkovich and the classical Maslov-Whitham method for constructing approximate solutions describing the propagation of nonlinear solitary waves.

On the relative fundamental solutions for a second order differential operator on the Heisenberg group

T. Godoy, L. Saal (2001)

Studia Mathematica

Let Hₙ be the (2n+1)-dimensional Heisenberg group, let p,q ≥ 1 be integers satisfying p+q=n, and let $L = \sum_{j = 1}^{p} (X ²_{j} + Y ²_{j}) - \sum_{j = p + 1}^{n} (X ²_{j} + Y ²_{j})$ , where X₁,Y₁,...,Xₙ,Yₙ,T denotes the standard basis of the Lie algebra of Hₙ. We compute explicitly a relative fundamental solution for L.

On the singular limit in a phase field model of phase transitions

Nicholas D. Alikakos, Peter W. Bates (1988)

Annales de l'I.H.P. Analyse non linéaire

On the singularities of 3-D Protter's problem for the wave equation.

Grammatikopoulos, Myron K., Hristov, Tzvetan D., Popivanov, Nedyu I. (2001)

Electronic Journal of Differential Equations (EJDE) [electronic only]

On the singularities of solutions of partial differential equations with constant coefficients

L. Hörmander (1971/1972)

Séminaire Équations aux dérivées partielles (Polytechnique)

On the S-matrix for Schrödinger operators with long-range potentials.

Yoshimi Saito (1980)

Journal für die reine und angewandte Mathematik

On the smoothness of the free boundary in a nonlocal one-dimensional parabolic free boundary value problem

Rossitza Semerdjieva (2015)

Open Mathematics

We consider one-dimensional parabolic free boundary value problem with a nonlocal (integro-differential) condition on the free boundary. Results on Cm-smoothness of the free boundary are obtained. In particular, a necessary and sufficient condition for infinite differentiability of the free boundary is given.

On the solution of boundary value problems for sandwich plates

Igor Bock, Ivan Hlaváček, Ján Lovíšek (1986)

Aplikace matematiky

A mathematical model of the equilibrium problem of elastic sandwich plates is established. Using the theory of inequalities of Korn's type for a general class of elliptic systems the existence and uniqueness of a variational solution is proved.

On the solution of reaction-diffusion equations with double diffusivity.

Aggarwala, B.D., Nasim, C. (1987)

International Journal of Mathematics and Mathematical Sciences

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