Results 241 to 250 of about 236,172 (292)

Inhomogeneous additive equations

International Journal of Number Theory, 2022
In this paper, we study the function [Formula: see text], which we define as the smallest number [Formula: see text] of variables needed to guarantee that the equation [Formula: see text] has nontrivial solutions in each of the [Formula: see text]-adic fields [Formula: see text], regardless of the rational integer coefficients.
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Inhomogeneous refinement equations

The Journal of Fourier Analysis and Applications, 1998
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Strang, Gilbert, Zhou, Ding-Xuan
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Critical inhomogeneous coupled Schrödinger equations

Journal of Mathematical Physics, 2023
This work develops a local theory of the inhomogeneous coupled Schrödinger equations iu̇j+Δuj=σ|x|−γ∑1≤k≤majk|uk|p|uj|p−2uj,j∈[1,m]. Here, one treats the critical Sobolev regime u(0,⋅)∈[Hsc(RN)]m, where sc≔N2−2−γ2(p−1) is the index of the invariant Sobolev norm under the dilatation ‖λ2−γ2(p−1)u(λ2t,λ⋅)‖Ḣsc=λμ−N2+2−γ2(p−1)‖u(λ2t)‖Ḣsc.
Tarek Saanouni, Radhia Ghanmi
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Inhomogeneous Timoshenko beam equations

Mathematical Methods in the Applied Sciences, 1992
AbstractThe so‐called Timoshenko beam equation is a good linear model for the transverse vibrations of a homogeneous beam. Following the variational approach of Washizu, the governing equation is deduced in the case when the physical/geometrical parameters of the beam vary along its axis.
AROSIO, Alberto Giorgio   +2 more
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Nonlinear Maxwell Equations in Inhomogeneous Media

Communications in Mathematical Physics, 2003
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Babin, Anatoli, Figotin, Alexander
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Inhomogeneous thermal conduction equations

Canadian Journal of Physics, 1978
The method of self-similar solution of partial differential equations is applied to the one-, two-, and three-dimensional inhomogeneous thermal conduction equations with the thermometric conductivities χ ~ rmWn. Analytical solutions are obtained for the case that the total amount of heat is conserved.
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