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Pseudo‐differential operators

Communications on Pure and Applied Mathematics, 1965
Contents: Second Order Elliptic Operators.- Pseudo-Differential Operators.- Elliptic Operators on a Compact Manifold without Boundary.- Boundary Problems for Elliptic Differential Operators.- Symplectic Geometry.- Some Classes of (Micro-)Hypoelliptic Operators.- The Strictly Hyperbolic Cauchy Problem.- The Mixed Dirichlet-Cauchy Problem for Second ...
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Differential attacks: using alternative operations

Designs, Codes and Cryptography, 2018
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Civino, Roberto   +2 more
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Differential Operators

1993
Things change. We describe these changes mathematically in terms of derivatives. A change of a variable, Φ, with respect to time is simply dΦ/dt. If the variable is also a function of position, the change in the variable depends on the direction. ∂Φ/ ∂x may be different from ∂Φ/ ∂y.
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Nonregular Pseudo-Differential Operators

Zeitschrift für Analysis und ihre Anwendungen, 1996
We study the boundedness properties of pseudo-differential operators a(x, D) and their adjoints a(x, D)* with symbols in a certain vector-valued Besov space on Besov
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Homogenization of Differential Operators

Acta Mathematicae Applicatae Sinica, English Series, 2002
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Differential Operators and Differential Modules

2003
In this chapter k is a differential field such that its subfield of constants C is different from k and has characteristic 0. The skew (i.e., noncommutative) ring D :=k[∂] consists of all expressions L :=a n ∂ n + ⋯ + a1∂ + a0 dot with n ∈ Z, n ≥ 0 and all a i ∈ k. These elements L are called differential operators.
Marius van der Put, Michael F. Singer
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ON SECOND ORDER DIFFERENTIAL OPERATORS

The Annals of Mathematics, 1955
Nevertheless, (1.2) is meaningful only under differentiability conditions which are unnatural for (1.1). An adjoint to (1.1) exists always, but it cannot be written in terms of derivatives with respect to x. The characteristic property of A appears to be (1) that it is of local character, (2) that whenever f has a local minimum at xo and f(xo) = 0 ...
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment

Ca-A Cancer Journal for Clinicians, 2022
Jun J Mao,, Msce   +2 more
exaly  

Differentials and Differential Operations

2017
Bernd Steinbach, Christian Posthoff
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