Results 1 to 10 of about 35 (35)
Functions of self‐adjoint operators in ideals of compact operators
Journal of the London Mathematical Society, Volume 95, Issue 1, Page 157-176, February 2017., 2017 Abstract For self‐adjoint operators A,B, a bounded operator J, and a function f:R→C, we obtain bounds in quasi‐normed ideals of compact operators for the difference f(A)J−Jf(B) in terms of the operator AJ−JB. The focus is on functions f that are smooth everywhere except for finitely many points. A typical example is the function f(t)=|t|γ with γ∈(0,1).
Alexander V. Sobolev
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Multiplicity and concentration results for magnetic relativistic Schrödinger equations
Advances in Nonlinear Analysis, 2019 In this paper, we consider the following magnetic pseudo-relativistic Schrödinger ...
Xia Aliang
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Journal of Function Spaces, Volume 6, Issue 2, Page 107-154, 2008., 2008 A construction of Triebel‐Lizorkin type spaces associated with flexible decompositions of the frequency space ℝd is considered. The class of admissible frequency decompositions is generated by a one parameter group of (anisotropic) dilations on ℝd and a suitable decomposition function.
Lasse Borup +2 more
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Nonlocal eigenvalue problems with variable exponent
Moroccan Journal of Pure and Applied Analysis, 2018 We consider the nonlocal eigenvalue problem of the following ...
Azroul Elhoussine, Shimi Mohammed
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On the exterior magnetic field and silent sources in magnetoencephalography
Abstract and Applied Analysis, Volume 2004, Issue 4, Page 307-314, 2004., 2004 Two main results are included in this paper. The first one deals with the leading asymptotic term of the magnetic field outside any conductive medium. In accord with physical reality, it is proved mathematically that the leading approximation is a quadrupole term which means that the conductive brain tissue weakens the intensity of the magnetic field ...
George Dassios, Fotini Kariotou
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On some parabolic problems with measure sources
Moroccan Journal of Pure and Applied Analysis, 2019 One of the recent advances in the investigation of nonlinear parabolic equations with a measure as forcing term is a paper by F. Petitta in which it has been introduced the notion of renormalized solutions to the initial parabolic problem in divergence ...
Abdellaoui Mohammed
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Finite propagation speed and kernels of strictly elliptic operators
International Journal of Mathematics and Mathematical Sciences, Volume 8, Issue 1, Page 75-91, 1985., 1985 We establish estimates of the resolvent and other related kernels and discuss Lp‐theory for a class of strictly elliptic operators on Rn. The class of operators considered in the paper is of the form A0 + B with the leading elliptic part A0 and a “singular” perturbation B, whose coefficients have Lp‐type and are modeled after Schrödinger operators.
David Gurarie
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Recent development in the theory of linear partial differential equations
International Journal of Mathematics and Mathematical Sciences, Volume 3, Issue 1, Page 1-14, 1980., 1980 A historical development of the theory of linear partial differential equation is reviewed with comments. A recent development in the theory of linear partial differential equations is discussed.
Jean Dieudonné
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Local Elliptic Regularity for the Dirichlet Fractional Laplacian
Advanced Nonlinear Studies, 2017 We prove the Wloc2s,p${W_{{\mathrm{loc}}}^{2s,p}}$ local elliptic regularity of weak solutions to the Dirichlet problem associated with the fractional Laplacian on an arbitrary bounded open set of ℝN${\mathbb{R}^{N}}$. The key tool consists in analyzing
Biccari Umberto +2 more
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Addendum: Local Elliptic Regularity for the Dirichlet Fractional Laplacian
Advanced Nonlinear Studies, 2017 In [1], for ...
Biccari Umberto +2 more
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