Results 101 to 110 of about 1,062,474 (215)

Relativistic wave equations with fractional derivatives and pseudodifferential operators

Journal of Applied Mathematics, 2002
We study the class of the free relativistic covariant equations generated by the fractional powers of the d′Alembertian operator (□1/n). The equations corresponding to n=1 and 2 (Klein-Gordon and Dirac equations) are local in their nature, but the ...
Petr Závada
doaj   +1 more source

Pseudodifferential operators with homogeneous symbols.

Michigan Mathematical Journal, 1999
The authors define homogeneous symbols as symbols \(a(x,\xi)\) in \(C^\infty(\mathbb{R}^n\times (\mathbb{R}^n/0))\) satisfying \[ |D^\alpha_x D^\beta_\xi a(x,\xi)|\leq C_{\alpha\beta}|\xi|^{m- |\beta|+|\alpha|} \] for all \(\alpha\), \(\beta\), with constants \(C_{\alpha\beta}\) independent of \(x\in\mathbb{R}^n\), \(\xi\in \mathbb{R}^n/0\).
Grafakos, Loukas, Torres, Rodolfo H.
openaire   +2 more sources

Almost Diagonalization of Pseudodifferential Operators [PDF]

, 2019
In this review we focus on the almost diagonalization of pseudodifferential operators and highlight the advantages that time-frequency techniques provide here. In particular, we retrace the steps of an insightful paper by Gr chenig, who succeeded in characterizing a class of symbols previously investigated by Se strand by noticing that Gabor frames ...
openaire   +2 more sources

The Friedrichs Extension of Elliptic Operators with Conditions on Submanifolds of Arbitrary Dimension

Mathematics
We describe the Friedrichs extension of elliptic symmetric pseudodifferential operators on a closed smooth manifold with the domain consisting of functions vanishing on a given submanifold.
Anton Savin
doaj   +1 more source

Fundamental Results for Pseudo-Differential Operators of Type 1, 1

Axioms, 2016
This paper develops some deeper consequences of an extended definition, proposed previously by the author, of pseudo-differential operators that are of type 1 , 1 in Hörmander’s sense. Thus, it contributes to the long-standing problem of creating
Jon Johnsen
doaj   +1 more source

On a Class of h-Fourier Integral Operators

Demonstratio Mathematica, 2014
In this paper, we study the L2-boundedness and L2-compactness of a class of h-Fourier integral operators. These operators are bounded (respectively compact) if the weight of the amplitude is bounded (respectively tends to 0).
Harrat Chahrazed, Senoussaoui Abderrahmane   +1 more
doaj   +1 more source

On the Single Layer Boundary Integral Operator for the Dirac Equation. [PDF]

Complex Anal Oper Theory, 2023
Holzmann M.
europepmc   +1 more source

Families Index for Pseudodifferential Operators on Manifolds with Boundary

, 2003
An analytic index is defined for a family of cusp pseudodifferential operators, $P_b,$ on a fibration with fibres which are compact manifolds with boundaries, provided the family is elliptic and has invertible indicial family at the boundary.
Melrose, Richard, Rochon, Frederic
core   +1 more source

Boundedness of a Class of Sublinear Operators and Their Commutators on Generalized Morrey Spaces

Abstract and Applied Analysis, 2011
The authors study the boundedness for a large class of sublinear operator T generated by Calderón-Zygmund operator on generalized Morrey spaces Mp,φ.
Vagif S. Guliyev, Seymur S. Aliyev, Turhan Karaman   +2 more
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Graded hypoellipticity of BGG sequences. [PDF]

Ann Glob Anal Geom (Dordr), 2022
Dave S, Haller S.
europepmc   +1 more source