Results 1 to 10 of about 705,175 (281)
Convex Quadratic Equation [PDF]
AbstractTwo main results (A) and (B) are presented in algebraic closed forms. (A) Regarding the convex quadratic equation, an analytical equivalent solvability condition and parameterization of all solutions are formulated, for the first time in the literature and in a unified framework.
Li-Gang Lin +2 more
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A nonlinear Bismut-Elworthy formula for HJB equations with quadratic Hamiltonian in Banach spaces [PDF]
We consider a Backward Stochastic Differential Equation (BSDE for short) in a Markovian framework for the pair of processes $(Y,Z)$, with generator with quadratic growth with respect to $Z$.
Addona, Davide +2 more
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A Generalization of the Hopf-Cole Transformation [PDF]
A generalization of the Hopf-Cole transformation and its relation to the Burgers equation of integer order and the diffusion equation with quadratic nonlinearity are discussed. The explicit form of a particular analytical solution is presented.
Miskinis, Paulius
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Chapman-Enskog expansion of the Boltzmann equation and its diagrammatic interpretation [PDF]
We perform a Chapman-Enskog expansion of the Boltzmann equation keeping up to quadratic contributions. We obtain a generalized nonlinear Kubo formula, and a set of integral equations which resum ladder and extended ladder diagrams. We show that these two
Carrington, M. E., Defu, Hou, Kobes, R.
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Quadratic vector equations [PDF]
We study in an unified fashion several quadratic vector and matrix equations with nonnegativity hypotheses. Specific cases of such problems (QBD equations, nonsymmetric algebraic Riccati equations, Lu's simple equation, Markovian binary trees equations) have been studied extensively in the past by several authors.
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Quadratic Liénard Equations with Quadratic Damping
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dumortier, Freddy, Li, C.
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Sharp weights in the Cauchy problem for nonlinear Schrodinger equations with potential [PDF]
We review different properties related to the Cauchy problem for the (nonlinear) Schrodinger equation with a smooth potential. For energy-subcritical nonlinearities and at most quadratic potentials, we investigate the necessary decay in space in order ...
Carles, Rémi
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Elementary symmetric functions of two solvents of a quadratic matrix equation [PDF]
Quadratic matrix equations occur in a variety of applications. In this paper we introduce new permutationally invariant functions of two solvents of the n quadratic matrix equation X^2- L1X - L0 = 0, playing the role of the two elementary symmetric ...
Jivulescu, M. A. +2 more
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Fractionally-quadratic transformations which reduce any two-dimensional quadratic system to the special Lienard equation are introduced.
Arnol'd V. I. +8 more
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A multidimensionally consistent version of Hirota's discrete KdV equation
A multidimensionally consistent generalisation of Hirota's discrete KdV equation is proposed, it is a quad equation defined by a polynomial that is quadratic in each variable.
Adler V E +7 more
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