Results 1 - 10 of 2889
Results 1 - 10 of 2889. Search took: 0.029 seconds
|Sort by: date | relevance|
[en] Using the Leray-Schauder continuation principle we give some existence results for the Picard boundary value problem of second order asymptotically homogeneous equations. Some previous results by Tippett, Gaines-Mawhin, Lazer-Leach will be extended.
[en] ADI (Alternating Direction Implicit) iteration has been used to solve a variety of discretized boundary value problems. Rapid convergence and rigorous mathematical foundations have been established for certain model problems. The application has been broadened by the use of model problem ADI preconditioning for the solution of more general problems. When the spectra of the two matrices appearing in the iteration equations differ, the choice of optimum iteration parameters and associated rate of convergence for the resulting two-variable problem must be addressed. W.B. Jordan reduced the real two-variable minimax problem to a one variable problem by means of a linear fractional transformation. His result was achieved with considerable algebra which was never published. An alternative approach which reduces the algebra and yields the transformation parameters in a simpler form is described here. (Author)
[en] We study the solvability of linear inverse problems for ultraparabolic equations with an unknown coefficient depending only on the spatial variables. The feature of such problems is special overdetermination conditions. We use the method based on reducing the inverse problem to a nonlocal boundary-value problem for ultraparabolic equations.
[en] An evident matrix two-channel representation for system hamiltonians with internal structure, obtained within the framework of symmetric operator extention theory is found. Generalized potentials are constructed which are equivalent to the zero radius interaction with internal structure and reproduce automatically the respective boundary conditions. 26 refs
[en] In this paper we prove identifiability and stability estimates for a local-data inverse boundary value problem for a magnetic Schrödinger operator in dimension . We assume that the inaccessible part of the boundary is part of a hyperplane. We improve the identifiability result obtained by Krupchyk et al (2012 Commun. Math. 313 87–126) and also derive the corresponding stability estimates. We obtain -estimates for magnetic and electric potentials. (paper)
[en] We give effectivized Hölder-logarithmic energy and regularity dependent stability estimates for the Gel'fand inverse boundary value problem in dimension d = 3. This effectivization includes explicit dependance of the estimates on coefficient norms and related parameters. Our new estimates are given in L2 and L∞ norms for the coefficient difference and related stability efficiently increases with increasing energy and/or coefficient difference regularity. Comparisons with preceeding results are given. (paper)