Results 1 to 10 of about 9,965 (190)
Estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel–Lizorkin spaces with variable exponents [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we give Leibniz-type estimates of bilinear pseudodifferential operators associated to bilinear Hörmander classes in Besov and Triebel–Lizorkin spaces with variable exponents. To obtain the estimate for Triebel–Lizorkin spaces with variable
Jingshi Xu, Jinlai Zhu
doaj +2 more sources
The Perturbed Maxwell Operator as Pseudodifferential Operator
Documenta Mathematica, 2013 As a first step to deriving effective dynamics and ray optics, we prove that the perturbed periodic Maxwell operator in d = 3 can be seen as a pseudodifferential operator. This necessitates a better understanding of the periodic Maxwell operator M_0.
De Nittis, Giuseppe, Lein, Max
core +3 more sources
Classes of spatially inhomogeneous pseudodifferential operators. [PDF]
Proc Natl Acad Sci U S A, 1973 One can obtain sharp information on a pseudodifferential operator p (x,D) by embedding the symbol p in a symbolic calculus specially designed to reflect the behavior of p . We sketch the development of symbolic calculi arising in this connection, and use our results to
Beals R, Fefferman C.
europepmc +5 more sources
Evolution pseudodifferential equations with analytic symbols in spaces of $S$ type
Karpatsʹkì Matematičnì Publìkacìï, 2021 A nonlocal multipoint by time problem for an evolution equation with a pseudodifferential operator is studied. This operator is treated as an infinite order differentiation operator in generalized spaces of $S$ type. We consider the case when the initial
V.V. Horodets'kyi, O.V. Martynyuk
doaj +1 more source
Numerical simulations of pure quasi-P-waves in orthorhombic anisotropic media
Frontiers in Earth Science, 2023 The accurate simulation of anisotropic media is critical in seismic imaging and inversion. In recent years, some scholars have dedicated efforts to the study of precise elastic waves in anisotropic media; however, it is easy to separate P-wave and S-wave
Hao Wang +3 more
doaj +1 more source
Pseudodifferential Equation of Fluctuations of Nonstationary Gravitational Fields
Journal of Mathematics, 2021 Developing Holtzmark’s idea, the distribution of nonstationary fluctuations of local interaction of moving objects of the system with gravitational influence, which is characterized by the Riesz potential, is constructed.
Vladyslav Litovchenko
doaj +1 more source
Magnetic Pseudodifferential Operators
Publications of the Research Institute for Mathematical Sciences, 2007 In previous papers, a generalization of the Weyl calculus was introduced in connection with the quantization of a particle moving in ℝ^n under the influence of a variable magnetic field B
Viorel Iftimie +2 more
openaire +4 more sources
Semielliptic Pseudodifferential Operators
Journal of Functional Analysis, 1995 On étudie la régularité des solutions des problèmes aux limites associés à un opérateur pseudo-différentiel semi-elliptique de la forme \[ P = D^\mu_t + \sum_{1 \leq j \leq \mu} p_j (x,t,D_x) D_t^{\mu - j}, \] \(t \in [0,T)\), \(x \in \omega\) ouvert de \(\mathbb{R}^n\), où \(p_j (x, t,D_x)\) est un opérateur pseudo-différentiel en \(x\), de closse \({\
Artino, R.A., Barrosneto, J.
openaire +2 more sources
Extension of Stein’s lemma derived by using an integration by differentiation technique
Examples and Counterexamples, 2022 We extend Stein’s lemma for averages that explicitly contain the Gaussian random variable at a power. We present two proofs for this extension of Stein’s lemma, with the first being a rigorous proof by mathematical induction.
Konstantinos Mamis
doaj +1 more source
Fredholm conditions for operators invariant with respect to compact Lie group actions
Comptes Rendus. Mathématique, 2021 Let $G$ be a compact Lie group acting smoothly on a smooth, compact manifold $M$, let $P \in \psi ^m(M; E_0, E_1)$ be a $G$–invariant, classical pseudodifferential operator acting between sections of two $G$-equivariant vector bundles $E_i \rightarrow M$,
Baldare, Alexandre +2 more
doaj +1 more source