Results 1 to 10 of about 705,175 (281)

Convex Quadratic Equation [PDF]

open access: yesJournal of Optimization Theory and Applications, 2020
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
openaire   +2 more sources

A nonlinear Bismut-Elworthy formula for HJB equations with quadratic Hamiltonian in Banach spaces [PDF]

open access: yes, 2019
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
core   +2 more sources

A Generalization of the Hopf-Cole Transformation [PDF]

open access: yes, 2012
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
core   +2 more sources

Chapman-Enskog expansion of the Boltzmann equation and its diagrammatic interpretation [PDF]

open access: yes, 2001
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.
core   +3 more sources

Quadratic vector equations [PDF]

open access: yesLinear Algebra and its Applications, 2011
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.
openaire   +3 more sources

Quadratic Liénard Equations with Quadratic Damping

open access: yesJournal of Differential Equations, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dumortier, Freddy, Li, C.
openaire   +3 more sources

Sharp weights in the Cauchy problem for nonlinear Schrodinger equations with potential [PDF]

open access: yes, 2014
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
core   +1 more source

Elementary symmetric functions of two solvents of a quadratic matrix equation [PDF]

open access: yes, 2008
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
core   +2 more sources

Hilbert's 16th Problem for Quadratic Systems. New Methods Based on a Transformation to the Lienard Equation

open access: yes, 2007
Fractionally-quadratic transformations which reduce any two-dimensional quadratic system to the special Lienard equation are introduced.
Arnol'd V. I.   +8 more
core   +3 more sources

A multidimensionally consistent version of Hirota's discrete KdV equation

open access: yes, 2011
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
core   +1 more source

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