Nonequilibrium Langevin Approach to Quantum Optics in Semiconductor Microcavities [PDF]
, 2007 Recently the possibility of generating nonclassical polariton states by means of parametric scattering has been demonstrated. Excitonic polaritons propagate in a complex interacting environment and contain real electronic excitations subject to ...
D. F. Walls +7 more
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Inverse Free Iterative Methods for Nonlinear Ill-Posed Operator Equations
International Journal of Mathematics and Mathematical Sciences, 2014 We present a new iterative method which does not involve inversion of the operators for obtaining an approximate solution for the nonlinear ill-posed operator equation F(x)=y.
Ioannis K. Argyros +2 more
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Some remarks on the duality method for Integro-Differential equations with measure data [PDF]
, 2015 We deal with existence, uniqueness, and regularity for solutions of the boundary value problem $$ \begin{cases} {\mathcal L}^s u = \mu &\quad \text{in $\Omega$}, u(x)=0 \quad &\text{on} \ \ \mathbb{R}^N\backslash\Omega, \end{cases} $$ where $\Omega$ is
Petitta, Francesco
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Symmetry Operators for the Fokker-Plank-Kolmogorov Equation with Nonlocal Quadratic Nonlinearity [PDF]
, 2007 The Cauchy problem for the Fokker-Plank-Kolmogorov equation with a nonlocal nonlinear drift term is reduced to a similar problem for the correspondent linear equation.
Rezaev, Roman O. +2 more
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General approximation-solvability of nonlinear equations involving -regular operators
Applied Mathematics Letters, 1993 AbstractHere we consider a general approximation-solvability scheme involving -regular operators —a generalization of -proper operators—introduced and studied by Petryshyn [1] and further studied by Milojevic' [2], Petryshyn [3], and others. Among significant applications, -regular version of the Petryshyn theorem is given.
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Rigidity versus symmetry breaking via nonlinear flows on cylinders and Euclidean spaces
, 2015 This paper is motivated by the characterization of the optimal symmetry breaking region in Caffarelli-Kohn-Nirenberg inequalities. As a consequence, optimal functions and sharp constants are computed in the symmetry region.
Dolbeault, Jean +2 more
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Fractal and FractionalThe Langevin equation is a model for describing Brownian motion, while the Sturm–Liouville equation is an important mechanical model. This paper focuses on the solvability and stability of nonlinear impulsive Langevin and Sturm–Liouville equations with ...
Kaihong Zhao, Juqing Liu, Xiaojun Lv
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General Approximation-Solvability of Nonlinear Equations Involving $\mathcal A$-regular Operators
Zeitschrift für Analysis und ihre Anwendungen, 1994 Here we consider a general approximation-solvability scheme involving \mathcal A -regular operators - a generalization of \mathcal A -proper operators - introduced ...
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Dynamics with Infinitely Many Derivatives: The Initial Value Problem
, 2008 Differential equations of infinite order are an increasingly important class of equations in theoretical physics. Such equations are ubiquitous in string field theory and have recently attracted considerable interest also from cosmologists.
A. Kilbas +50 more
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Regularity, Local and Microlocal Analysis in Theories of Generalized Functions [PDF]
, 2007 We introduce a general context involving a presheaf A and a subpresheaf B of A. We show that all previously considered cases of local analysis of generalized functions (defined from duality or algebraic techniques) can be interpretated as the B-local ...
Marti, Jean-André
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