Results 121 to 130 of about 9,197 (167)

Noise effects on soliton structures of nonlinear Schrödinger equation with generalized Kudryashov's law non-linearity using modified extended mapping technique. [PDF]

Sci Rep
Mshary N, Bossly R, Ahmed HM.
europepmc   +1 more source

A Kyber-Based Lightweight Cloud-Assisted Authentication Scheme for Medical IoT. [PDF]

Sensors (Basel)
Yan H, Wang Z, Lin L, Sun J, Liu S.
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Design and analysis of a secure image encryption algorithm using proposed non-linear RN chaotic system and ECC/HKDF key derivation with authentication support. [PDF]

Sci Rep
Zhiqiang H, Rauf A, Nazir A, Tchier F, Aslam A, Tola KA.   +5 more
europepmc   +1 more source

Optical soliton solutions of the stochastic generalized nonlinear Schrödinger equation with arbitrary refractive index in Itô sense. [PDF]

Sci Rep
Trouba NT, Xu H, Alngar MEM, Shohib RMA, El-Meligy M, Zhu X, Sharaf M.   +6 more
europepmc   +1 more source

Elliptic systems

, 1996
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Overdetermined Elliptic Systems

Foundations of Computational Mathematics, 2005
We consider linear overdetermined systems of partial differential equations. We show that the introduction of weights classically used for the definition of ellipticity is not necessary, as any system that is elliptic with respect to some weights becomes elliptic without weights during its completion to involution.
Katsiaryna Krupchyk, Werner M. Seiler, Jukka Tuomela   +2 more
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A Lyapunov Lemma for Elliptic Systems

Annals of Global Analysis and Geometry, 2004
The authors of this very well written article prove an interesting result within the functional calculus of classical pseudo-differential operators. More precisely, they fix an \(N\times N\) system \(A\) of classical pseudo-differential operators of order \(\leq m\) on a compact smooth manifold and they assume that \(A\) is elliptic.
PARENTI, CESARE, PARMEGGIANI, ALBERTO
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Asymptotics for Semilinear Elliptic Systems

Canadian Mathematical Bulletin, 1991
AbstractA class of weakly coupled systems of semilinear elliptic partial differential equations is considered in an exterior domain in ℝN, N > 3. Necessary and sufficient conditions are given for the existence of a positive solution (componentwise) with the asymptotic decay u(x) = O(|x|2-N) as |x| —> ∞.
Noussair, Ezzat S., Swanson, Charles A.
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Interface Problems for Elliptic Systems

Journal of Partial Differential Equations, 1999
Summary: Interface problems for elliptic systems of second-order partial differential equations are studied. The main result is that the solution in the neighborhood of a singular point can be divided into two parts one of which is a solution to the homogeneous system with constant coefficients, and the other one possesses higher regularity.
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