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Homogenization of Differential Operators
Acta Mathematicae Applicatae Sinica, English Series, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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ON SECOND ORDER DIFFERENTIAL OPERATORS
The Annals of Mathematics, 1955Nevertheless, (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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DEGENERATING ELLIPTIC DIFFERENTIAL AND PSEUDO-DIFFERENTIAL OPERATORS
Russian Mathematical Surveys, 1970The present paper is a survey of some results concerning higher-order elliptic differential operators which degenerate on the boundary of a domain. The principal aspect in the study of such operators is that of investigating the corresponding ordinary equations with parameters which degenerate at a single point.
Vishik, M. I., Grushin, V. V.
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Differential Operators and Differential Modules
2003In 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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2003
This chapter is essentially a brief introduction to non-linear functional analysis. First, we define the Gâteaux and Frechet derivatives of generally non-linear operators between linear vector spaces and we investigate their properties in some considerable detail.
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This chapter is essentially a brief introduction to non-linear functional analysis. First, we define the Gâteaux and Frechet derivatives of generally non-linear operators between linear vector spaces and we investigate their properties in some considerable detail.
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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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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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Differentials and Differential Operations
2017Bernd Steinbach, Christian Posthoff
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Products of composition operator and differentiation operator of order n on the Hardy space
Bolletino Dell Unione Matematica Italiana, 2022Mahsa Fatehi
exaly
An Integro-Differential Operator
Journal of the London Mathematical Society, 1973openaire +1 more source
The differentiation operator in the space of uniformly convergent Dirichlet series
Mathematische Nachrichten, 2020JOSÉ Bonet
exaly