Results 41 to 50 of about 1,078 (81)
On the existence of maximizers for a family of Restriction Theorems [PDF]
, 2010 We prove the existence of maximizers for a general family of restrictions operators, up to the end-point. We also provide some counterxamples in the end-point case.
arxiv +1 more source
Blow-up of solutions for Euler-Bernoulli equation with nonlinear time delay
Open MathematicsWe study the Euler-Bernoulli equations with time delay: utt+Δ2u−g1∗Δ2u+g2∗Δu+μ1ut(x,t)∣ut(x,t)∣m−2+μ2ut(x,t−τ)∣ut(x,t−τ)∣m−2=f(u),{u}_{tt}+{\Delta }^{2}u-{g}_{1}\ast {\Delta }^{2}u+{g}_{2}\ast \Delta u+{\mu }_{1}{u}_{t}\left(x,t){| {u}_{t}\left(x,t ...
Lin Rongrui, Gao Yunlong, She Lianbing
doaj +1 more source
Some estimates for imaginary powers of the Laplace operator in variable Lebesgue spaces and applications [PDF]
arXiv, 2013 In this paper we study some estimates of norms in variable exponent Lebesgue spaces for a singular integral operators that are imaginary powers of the Laplace operator in $\R^n$. Using Mellin transform argument, from this estimates we obtain boundedness for a family of maximal operators in variable exponent Lebesgue spaces, which are closely related to
arxiv
Time decay of scaling invariant Schroedinger equations on the plane [PDF]
, 2014 We prove the sharp L^1-L^{\infty} time-decay estimate for the 2D-Schroedinger equation with a general family of scaling critical electromagnetic potentials.
arxiv +1 more source
Alexandria Engineering Journal, 2023 The generalized Hirota-Satsuma coupled KdV system with fractional-order derivative plays a significant role to simulate the interaction of nearby identical-weight particles in a crystal lattice structure, two long waves interaction with different ...
H.M. Shahadat Ali +4 more
doaj
Global Strichartz estimates for nontrapping perturbations of the Laplacian [PDF]
arXiv, 1999 The authors prove global Strichartz estimates for compact perturbations of the wave operator in odd dimensions when a non-trapping assumption is satisfied.
arxiv
Results in Physics, 2021 In the current article, we will apply the scaling invariance technique to find conservation laws (CLs) for the nonlinear Chiral Schrödinger equation (NLCSE) with variable coefficients and the (2+1)-dimensional Maccari system.
Azhar Bashir +5 more
doaj
Some calculus with extensive quantities: wave equation [PDF]
arXiv, 2003 We take some first steps in providing a synthetic theory of distributions. In particular, we are interested in the use of distribution theory as foundation, not just as tool, in the study of the wave equation.
arxiv
Global well-posedness of the energy subcritical nonlinear wave equation with initial data in a critical space [PDF]
arXiv, 2021 In this paper we prove global well-posedness for the defocusing, energy-subcritical, nonlinear wave equation on $\mathbb{R}^{1 + 3}$ with initial data in a critical Besov space. No radial symmetry assumption is needed.
arxiv
Advances in Nonlinear Analysis, 2017 In this paper, we study the following water wave model with a nonlocal viscous term:
Goubet Olivier, Manoubi Imen
doaj +1 more source