Results 11 to 20 of about 197,486 (286)
Pseudo-differential operators in algebras of generalized functions and global hypoellipticity [PDF]
, 2004 The aim of this work is to develop a global calculus for pseudo-differential operators acting on suitable algebras of generalized functions. In particular, a condition of global hypoellipticity of the symbols gives a result of regularity for the ...
Garetto, Claudia
core +2 more sources
Pseudo-differential Equations with Spherical Splines
, 2021 The aim of this chapter is to report on the design of additive Schwarz methods when spherical splines are used to solve the hypersingular integral equation on the sphere. On this geometry, this equation belongs to a wider class of the so-called pseudo-differential equations on the sphere.
Stephan, EP, Tran, T
openaire +2 more sources
Quantization of pseudo-differential operators on the torus [PDF]
, 2008 Pseudo-differential and Fourier series operators on the n-torus are analyzed by using global representations by Fourier series instead of local representations in coordinate charts.
Ruzhansky, Michael, Turunen, Ville
core +3 more sources
Geodesics on the Momentum Phase Space with metric $^{{C}}{g}$
Universal Journal of Mathematics and Applications, 2018 In this paper, a system of the differential equations giving geodesics on the momentum phase space with pseudo Riemann metric $^{C}g$ of a Hamilton space is found by using the Euler Lagrange equations.
İsmet Ayhan
doaj +1 more source
Nonautonomous Dynamical Systems, 2020 The aim of this work is to give sufficient conditions ensuring that the space PAP(, X, µ) of µ-pseudo almost periodic functions and the space PAA(, X, µ) of µ-pseudo almost automorphic functions are invariant by the convolution product f = k * f, k ...
Béssémè Fritz Mbounja +4 more
doaj +1 more source
On local solvability of pseudo-differential equations [PDF]
Proceedings of the American Mathematical Society, 1974 A sufficient condition for the local solvability of the equation u,-A(x, t, D,)u=f(x, t) is proved, where A is a first order pseudo-differential operator with real symbol. This is a special case of the local solvability conjecture of Nirenberg and Treves. Introduction.
openaire +1 more source
Pseudo-differential Equations with Radial Basis Functions
, 2021 In this chapter we consider again pseudo-differential equations on the sphere. However, the chapter is diverted from the main theme of other chapters in that boundary elements are not the tool used to solve the equations. Instead, we use radial basis functions (RBFs) which results in a meshless method.
Stephan, EP, Tran, T
openaire +2 more sources
Pseudospectra of semi-classical (pseudo)differential operators [PDF]
, 2003 The purpose of this note is to show how some results from the theory of partial differential equations apply to the study of pseudo-spectra of non-self-adjoint operators, which is a topic of current interest in applied mathematics.Comment: AMS-LaTeX, 22 ...
Dencker, Nils +2 more
core +1 more source
Frames of solutions and discrete analysis of pseudo‐differential equations
Mathematical Methods in the Applied Sciences, 2022 We construct discrete analogs of multidimensional singular integral operators and study their invertibility. Moreover, we give a comparison between continual and discrete case. We give the theory of periodic Riemann problem also, because it is needed for studying invertibility of so‐called paired equations.
Alexander V. Vasilyev +2 more
openaire +1 more source
Results in Physics, 2022 This paper will present a highly efficient technique for solving linear and nonlinear differential equations. We will use the second derivative of Legendre polynomials as new base functions via a pseudo-Galerkin method. These base functions produce a new
M. Abdelhakem +3 more
doaj +1 more source