Symetrie: Ano či ne?
Symétrisabilité des matrices localisées d'une matrice fortement hyperbolique en un point multiple
Symétrisations indépendantes du temps pour certains opérateurs du type de Schrödinger. I
Si danno condizioni sufficienti e condizioni necessarie affinché il problema di Cauchy per alcuni operatori di tipo Schrödinger sia ben posto in spazi di Sobolev. Gli operatori qui considerati sono operatori di Schrödinger con potenziali vettoriali complessi, una generalizzazione degli operatori di 2-evoluzione nel senso di Petrowsky, e alcuni sistemi tipo Leray-Volevich di operatori lineari a derivate parziali. Il metodo che usiamo in questo articolo è la simmetrizazione degli operatori non dipendenti...
Symmetric hyperbolic systems with boundary conditions that do not satisfy the Kreiss-Sakamoto condition
Symmetric hyperbolic systems with a class of non-homogeneous boundary conditions that do not satisfy the Kreiss-Sakamoto condition (or uniform Lopatinskii condition) are discussed. The boundary conditions are of conservative type. An energy estimate which provides interior and boundary regularity for weak solutions to the system is proved. The results are valid for operators with rough coefficients. As an example the anisotropic Maxwell system is considered.
Symmetric solutions to minimization of a -energy functional with ellipsoid value.
Symmetries of connections on fibered manifolds
The (infinitesimal) symmetries of first and second-order partial differential equations represented by connections on fibered manifolds are studied within the framework of certain “strong horizontal“ structures closely related to the equations in question. The classification and global description of the symmetries is presented by means of some natural compatible structures, eġḃy vertical prolongations of connections.
Symmetries of Conservation Laws
Symmetries of factor systems.
Symmetries of the nonlinear Schrödinger equation
Symmetries of the defocusing nonlinear Schrödinger equation are expressed in action-angle coordinates and characterized in terms of the periodic and Dirichlet spectrum of the associated Zakharov-Shabat system. Application: proof of the conjecture that the periodic spectrum of a Zakharov-Shabat operator is symmetric,i.e. for all , if and only if the sequence of gap lengths, , is symmetric with respect to .
Symmetrization in nonlinear parabolic equations
Symmetrization of functions and principal eigenvalues of elliptic operators
In this paper, we consider shape optimization problems for the principal eigenvalues of second order uniformly elliptic operators in bounded domains of . We first recall the classical Rayleigh-Faber-Krahn problem, that is the minimization of the principal eigenvalue of the Dirichlet Laplacian in a domain with fixed Lebesgue measure. We then consider the case of the Laplacian with a bounded drift, that is the operator , for which the minimization problem is still well posed. Next, we deal with...
Symmetrization of hyperbolic systems with real constant coefficients
Symmetrization of the nonlinear system of gas dynamics equations.
Symmetry analysis of the cylindrical Laplace equation.
Symmetry and concentration behavior of ground state in axially symmetric domains.
Symmetry and convexity of level sets of solutions to the infinity Laplace's equation.
Symmetry and geometric evolution equations.
Symmetry and monotonicity of solutions to some variational problems in cylinders and annuli.
Symmetry and new solutions of the Black-Scholes equation.
Symmetry and Overdetermined Boundary Value Problems.