Global time estimates for solutions to equations of dissipative type [PDF]
Journees "Equations aux Derivees Partielles", Exp. No. XII, 29
pp., Ecole Polytech., Palaiseau, 2005, 2006 Global time estimates of Lp-Lq norms of solutions to general strictly hyperbolic partial differential equations are considered. The case of special interest in this paper are equations exhibiting the dissipative behaviour. Results are applied to discuss time decay estimates for Fokker-Planck equations and for wave type equations with negative mass.
arxiv
Logarithmic singularities of solutions to nonlinear partial differential equations [PDF]
Journal of the Mathematical Society of Japan, 60 (2) (2008),
603-630, 2007 We construct a family of singular solutions to some nonlinear partial differential equations which have resonances in the sense of a paper due to T. Kobayashi. The leading term of a solution in our family contains a logarithm, possibly multiplied by a monomial. As an application, we study nonlinear wave equations with quadratic nonlinearities.
arxiv
Darboux Transformations and solutions for an equation in 2+1 dimensions [PDF]
arXiv, 1998 Painleve analysis and the singular manifold method are the tools used in this paper to perform a complete study of an equation in 2+1 dimensions. This procedure has allowed us to obtain the Lax pair, Darboux transformation and tau functions in such a way that a plethora of different solutions with solitonic behavior can be constructed ...
arxiv
Some properties of (C,E,P)-algebras : Overgneration and 0-order estimates [PDF]
arXiv, 2008 We give a new definition of the so-called overgenerated rings, which are the usual tool used to define the asymptotic structure of a (C,E,P)-algebra, written as a factor space M_{(A,E,P)}/N_{(I_{A},E,P)}. With this new definition and in the particular case of E=C^{∞}, we show that a moderate element i.e.
arxiv
The Spherical $π$-Operator [PDF]
arXiv, 2008 In this article, we define the spherical $\pi$-operator over domains in the $(n-1)$-D unit sphere $S^n$ of $R^n$ and develop new and analogous results on the operator it self and its mapping properties. We introduce the spherical Dirac operator $\Gamma_\alpha$ as an $\alpha$- shift of of $\Gamma_omega$, where $\Gamma_omega$ is the negative of the wedge
arxiv
Holomorphic extension of solutions of semilinear elliptic equations [PDF]
Nonlinear Analysis, vol. 74 n. 7, 2011, pp. 2663-2681, 2010 We prove, for a wide class of semilinear elliptic differential and pseudodifferential equations in $\R^d$, that the solutions which are sufficiently regular and have a certain decay at infinity extend to holomorphic functions in sectors of $\mathbb{C}^d$, improving earlier results where the extension was shown for a strip.
arxiv
A purely analytic derivation of Bonnet surfaces [PDF]
arXivBonnet has characterized his surfaces by a geometric condition. What is done here is a characterization of the same surfaces by two analytic conditions: (i) the mean curvature $H$ of a surface in $\mathbb{R}^3$ should admit a reduction to an ordinary differential equation; (ii) this latter equation should possess the Painlev\'e property.
arxiv
On a class of globally analytic Hypoelliptic operators with non-negative characteristic form [PDF]
arXivThe global analytic hypoellipticity is proved for a class of second order partial differential equations with non-negative characteristic form globally defined on the torus. The class considered in this work generalizes at some degree the class of sum of squares considered by Bove-Chinni and also by Cordaro-Himonas.
arxiv
Influence of HDL particles on cell-cholesterol efflux under various pathological conditions. [PDF]
J Lipid Res, 2017 Asztalos BF +4 more
europepmc +1 more source
Solutions holomorphes locale et globale pour un opérateur différentiel linéaire à plusieurs variables Fuchsiennes [PDF]
, 2005 Derrab, Faiza, Nabaji, Abdallah
core +1 more source