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Items for "uniqueness"

Positive eigenfunctions for the p-Laplace operator revisited

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 Wissenschaftsverlag
Subordination of symmetric quasi -regular Dirichlet forms

The 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 Gruyter
Remark on uniqueness of weak solutions to the Navier–Stokes equations

Consider the Navier–Stokes equations with the initial data aLσ2(Rd)...

Keywords: uniqueness, Navier-Stokes equations, weak solution, multiplier space

01/2008 | Analysis, Oldenbourg Wissenschaftsverlag
A uniqueness result and image reconstruction of the orthotropic conductivity in magnetic resonance electrical impedance tomography

The 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 Gruyter
Inverse problem with unknown composite external action for hyperbolic equations

In 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 Gruyter
Inverse problem for parabolic high-order equations

The 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