On the Laplace-Beltrami operator on compact complex spaces
, 2019 Let $(X,h)$ be a compact and irreducible Hermitian complex space of complex dimension $v>1$. In this paper we show that the Friedrichs extension of both the Laplace-Beltrami operator and the Hodge-Kodaira Laplacian acting on functions has discrete ...
Bei, Francesco
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Solutions for PDEs with constant coefficients and derivability of functions ranged in commutative algebras [PDF]
, 2013 It is well known that the real and imaginary parts of any holomorphic function are harmonic functions of two variables. In this paper, we extend this idea to finite-dimensional commutative algebras; that is, we prove that if some basis of a subspace of ...
Pogoruі, А. А. +2 more
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Partial differential equations and strictly plurisubharmonic functions in several variables [PDF]
, 2018 Usando métodos algebraicos, probamos que existe una relación fundamental entre las ecuaciones diferenciales parciales y las funciones estrictamente plurisubarmónicas sobre los dominios de ℂⁿ(n ≥1).Using algebraic methods, we prove that there exists a ...
Abidi, Jamel
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Application of Hayman’s Theorem to Directional Differential Equations With Analytic Solutions in the Unit Ball [PDF]
In this paper, we investigate analytic solutions of higher order linear non-homogeneous directional differential equations whose coefficients are analytic functions in the unit ball.
BANDURA, Andriy
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Computing semi-commuting differential operators in one and multiple variables [PDF]
, 2014 We discuss the concept of what we refer to as semi-commuting linear differential operators. Such operators hold commuting operators as a special case. In particular, we discuss a heuristic by which one may construct such operators.
Robert A. Van Gorder
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Kink phenomena of the time-space fractional Oskolkov equation [PDF]
In this study, we applied the Riccati-Bernoulli sub-ODE method and Bäcklund transformation to analyze the time-space fractional Oskolkov equation for kink solutions by matching the coefficients and optimal series parameters.
Ali M. Mahnashi +2 more
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The $\partial$-Operator and Real Holomorphic Vector Fields
, 2020 Let $(M,h)$ be a Hermitian manifold and $\psi$ a smooth weight function on $M$. The $\partial$-complex on weighted Bergman spaces $A^2_{(p,0)}(M,h, e^{-\psi})$ of holomorphic $(p,0)$-forms was recently studied in [[10] and [9].
Haslinger, Friedrich, Son, Duong Ngoc
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Erythropoietin prevents necrotizing enterocolitis in very preterm infants: a randomized controlled trial. [PDF]
J Transl Med, 2020 Wang Y +19 more
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Solutions for several systems of algebraic differential-difference equations in $\mathbb{C}^n$
In this article, we introduce a new method for solving general quadratic functional equations in $\mathbb{C}^n$. By utilizing Nevanlinna theory in $\mathbb{C}^n$, we explore the existence and form of solutions for the several systems of general quadratic
Ahamed, Molla Basir, Mandal, Sanju
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Special metrics in hypercomplex geometry
We provide a detailed treatment of special hyperhermitian metrics on hypercomplex manifolds. The quaternionic Gauduchon and quaternionic balanced conditions are investigated at length: we describe their properties and characterize their existence.
Fusi, Elia, Gentili, Giovanni
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