We give a short proof that positive eigenfunctions for the p-Laplacian are necessarily associated with the first eigenvalue and that they are unique modulo scaling.
Keywords: p-Laplacian, eigenvalue, eigenfunction, uniqueness
04/2006 | Analysis, Oldenbourg WissenschaftsverlagThe generators of subordinate symmetric (sub-) Markov processes and their domains are exhibited by using spectral theory...
Keywords: Infinite dimensional, stochastic differential equations, stochastic partial differential equations, subordination, pseudo -differential operators, Dirichlet forms, uniqueness
01/2005 | Random Operators and Stochastic Equations, Walter de GruyterConsider the Navier–Stokes equations with the initial data a∈Lσ2(Rd)...
Keywords: uniqueness, Navier-Stokes equations, weak solution, multiplier space
01/2008 | Analysis, Oldenbourg WissenschaftsverlagThe Magnetic resonance electrical impedance tomography (MREIT) is a new medical imaging method combining electrical impedance tomography (EIT) and current injection MRI technique...
Keywords: MREIT, orthotropic conductivity, uniqueness, reconstruction algorithm
01/2008 | Journal of Inverse and Ill-posed Problems, Walter de GruyterIn the present paper, the inverse problem with unknown composite right-hand side for second-order linear hyperbolic equations is examined...
Keywords: Hyperbolic equation, unknown external action, inverse problem, regular solution, existence, uniqueness, stability
01/2008 | Journal of Inverse and Ill-posed Problems, Walter de GruyterThe solvability of the coefficient inverse problem for parabolic high-order equation is considered...
Keywords: Parabolic high-order equations, inverse problem, final overdetermination, regular solutions, existence, uniqueness
01/2008 | Journal of Inverse and Ill-posed Problems, Walter de Gruyter