Results 241 to 250 of about 91,363 (266)

Bounded pseudo-differential operators

Israel Journal of Mathematics, 1972
This lecture gives an inside look into the proof of the continuity of pseudo-differential operators of orderm and typep, δ1, δ2 for 0≦p≦δ1=1, 0≦p ...
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Elliptic pseudo-differential operators

1997
A pseudo-differential operator P with a symbol p ∈ S m (Ω) is elliptic in Ω, if for any compact subset K ⊂ Ω there exist positive constants c and C such that p(x,ξ)≥cξ m for ξ ...
Yuri V. Egorov, Bert-Wolfgang Schulze
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Gel'Fand Theory of Pseudo Differential Operators

American Journal of Mathematics, 1968
Introduction. The conventional pseudo differential operators were introduced by Kohn and Nirenberg [8] and extensively studied in a generalized version by Hdrmander [7]. In either case they appear as operators acting on C, -functions of a differentiable manifold; their definition is designed to obtain a class of linear operators containing all linear ...
Cordes, H. O., Herman, E. A.
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Finite pseudo-differential operators

Journal of Pseudo-Differential Operators and Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Pseudo-Differential Operators

2013
Pseudo-differential operators are important generalization of differential operators. These operators were first introduced in 1960 by Friedrichs and Lax in the study of singular integral differential operators, mainly, for inverting differential operators to solve differential equations.
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Pseudo-Differential Operators of Principal Type

1981
In Section 10.4 we saw that the strength of a differential operator with constant coefficients in ℝ n is determined by the principal part p if and only if p=0 implies dp≠0 in ℝ n \0. Such operators were said to be of principal type. The purpose of this chapter is to study general operators P∈Ψ phg m (X) on a manifold X assuming that the condition dp ≠0
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Theory of Pseudo-differential Operators

2004
In this chapter we present a brief description of the basic concepts and results from the theory of pseudo-differential operators – a modern theory of potentials –which will be used in the subsequent chapters. The development of the theory of pseudo-differential operators has greatly advanced our understanding of partial differential equations, and the
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Bopp Pseudo-differential Operators

2011
Bopp pseudo-differential operators are the operators formally obtained from a symbol by the quantization rules $$x \to x + \frac{1} {2}i\rlap{--} h\partial _{p\,} \,,\,\,p \to p - \frac{1} {2}i\rlap{--} h\partial _x$$ (18.1) instead of the usual correspondence\(x \to x,\,p\, \to \, - i\rlap{--} h\partial _{x.}\) The terminology comes from the
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On Eigenvalues of Pseudo-Differential Operators

Bulletin of the London Mathematical Society, 1987
Conditions are given to ensure the existence and finiteness of the number of eigenvalues below the essential spectrum of self-adjoint realizations H of the operator \((D^ 2+m^ 2)^{1/2}+q(x)\) in \(L^ 2({\mathbb{R}}^ n)\) \((D=-i\partial /\partial x\), \(m>0\) a constant, q real valued).
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Sampling and Pseudo-Differential Operators

2008
Discrete formulas for pseudo-differential operators based on the Shannon-Whittaker sampling formula and the Poisson summation formula are given.
Alip Mohammed, M. W. Wong
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