Results 21 to 30 of about 1,977,043 (275)
Regularity of the free boundary for a parabolic cooperative system [PDF]
, 2022 In this paper we study the following parabolic system Delta u - partial derivative(t)u = vertical bar u vertical bar(q-1) u chi({vertical bar u vertical bar > 0}), = (u(1), ...
Aleksanyan, G., +11 more
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The Riemann method for equations with a dominant partial derivative (A Review) [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021 This review article is devoted to a class of linear equations with a dominant (leading) partial derivative of the form \((D+M)u=f\), where \(Du\) is a mixed partial derivative, and \(M\) is a linear differential operator containing the derivatives of the
Aleksey N. Mironov +2 more
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On the complexity of partial derivatives
CoRR, 2016 The method of partial derivatives is one of the most successful lower bound methods for arithmetic circuits. It uses as a complexity measure the dimension of the span of the partial derivatives of a polynomial. In this paper, we consider this complexity measure as a computational problem: for an input polynomial given as the sum of its nonzero ...
Garcia-Marco, Ignacio +3 more
openaire +6 more sources
On the differentiation of a composite function with a generalized vector argument on homogeneous time scales; pp. 309–322 [PDF]
Proceedings of the Estonian Academy of Sciences, 2017 The paper proves a theorem on the differentiation of a composite function with a generalized vector argument. The theorem is formulated in terms of the delta derivative, which in the case of homogeneous time scales incorporates both the ordinary ...
Vadim Kaparin, Ülle Kotta
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On the spatial dynamics of the solution to the stochastic heat equation [PDF]
, 2013 We consider the solution of partial derivative(t)u = partial derivative(2)(x) u + partial derivative(x)partial derivative(t) B, (x, t) is an element of R x (0; infinity), subject to the initial condition u (x, 0) = 0; x is an element of R, where B is a ...
Assing, Sigurd, Bichard, James
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Noncommutative Partial Derivative [PDF]
, 2022 We introduce the axiomatic definition of the point-derivative for noncommutative algebras and present the counterparts of the ordinary multi-variable chain rule and Clairaut's Theorem in the context of partial point ...
Liu, Keqin
core
Traces, extensions, co-normal derivatives and solution regularity of elliptic systems with smooth and non-smooth coefficients [PDF]
, 2009 For functions from a Sobolev space, definitions of non-unique generalised and unique canonical co-normal derivative are considered, which are related to possible extensions of a partial differential operator and its right hand side from the domain ...
Mikhailov, SE
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International Journal of Differential Equations, 2021 In this paper, a novel analytical method for solving nonlinear partial differential equations is studied. This method is known as triple Laplace transform decomposition method. This method is generalized in the sense of conformable derivative.
Shailesh A. Bhanotar +1 more
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NUMERICAL MODELING OF HYDRODYNAMIC PROCESSES IN AQUIFERS
Современная наука и инновации, 2022 The article deals with development of a mathematical model of hydrodynamic processes in aquifers. The mathematical model of the object is represented as a system of differential equations in partial derivatives that can be solved by the explicit scheme ...
Maxim Alexandrovich Sixtus
doaj
Weight Function Method for computations of crack face displacements and stress intensity factors of center cracks [PDF]
Fracture and Structural Integrity, 2015 The weight function method provides a powerful and reliable tool for the determination of the stress intensity factor around the crack tip in a linearly elastic cracked solid subjected to arbitrary loading conditions.
Junling Fan +4 more
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