排序方式: 共有13条查询结果,搜索用时 15 毫秒
1.
We consider the equation −?2Δu+u=up in a bounded domain Ω⊂R3 with edges. We impose Neumann boundary conditions, assuming 1<p<5, and prove concentration of solutions at suitable points of ∂Ω on the edges. 相似文献
2.
Coclite Giuseppe Maria Dipierro Serena Maddalena Francesco Valdinoci Enrico 《Journal of Nonlinear Science》2020,30(4):1285-1305
The formation of singularities in finite time in nonlocal Burgers’ equations, with time-fractional derivative, is studied in detail. The occurrence of finite-time singularity is proved, revealing the underlying mechanism, and precise estimates on the blowup time are provided. The employment of the present equation to model a problem arising in job market is also analyzed.
相似文献3.
A three-dimensional symmetry result for a phase transition equation in the genuinely nonlocal regime
Serena?Dipierro Alberto?Farina Enrico?ValdinociEmail author 《Calculus of Variations and Partial Differential Equations》2018,57(1):15
We consider bounded solutions of the nonlocal Allen–Cahn equation under the monotonicity condition \(\partial _{x_3}u>0\) and in the genuinely nonlocal regime in which \(s\in \left( 0,\frac{1}{2}\right) \). Under the limit assumptions it has been recently shown in Dipierro et al. (Improvement of flatness for nonlocal phase transitions, 2016) that u is necessarily 1D, i.e. it depends only on one Euclidean variable. The goal of this paper is to obtain a similar result without assuming such limit conditions. This type of results can be seen as nonlocal counterparts of the celebrated conjecture formulated by De Giorgi (Proceedings of the international meeting on recent methods in nonlinear analysis (Rome, 1978), Pitagora, Bologna, pp 131–188, 1979).
相似文献
$$\begin{aligned} (-\Delta )^s u=u-u^3\qquad { \text{ in } }\mathbb {R}^3, \end{aligned}$$
$$\begin{aligned} \lim _{x_n\rightarrow -\infty } u(x',x_n)=-1\quad { \text{ and } }\quad \lim _{x_n\rightarrow +\infty } u(x',x_n)=1, \end{aligned}$$
4.
Aubin C Bernard C Detar C Dipierro M El-Khadra A Gottlieb S Gregory EB Heller UM Hetrick J Kronfeld AS Mackenzie PB Menscher D Nobes M Okamoto M Oktay MB Osborn J Simone J Sugar R Toussaint D Trottier HD;Fermilab Lattice;MILC;HPQCD 《Physical review letters》2005,94(1):011601
We present the first three-flavor lattice QCD calculations for D-->pilnu and D-->Klnu semileptonic decays. Simulations are carried out using ensembles of unquenched gauge fields generated by the MILC Collaboration. With an improved staggered action for light quarks, we are able to simulate at light quark masses down to 1/8 of the strange mass. Consequently, the systematic error from the chiral extrapolation is much smaller than in previous calculations with Wilson-type light quarks. Our results for the form factors at q(2)=0 are f(D-->pi)(+)(0)=0.64(3)(6) and f(D-->K)(+)(0)=0.73(3)(7), where the first error is statistical and the second is systematic, added in quadrature. Combining our results with experimental branching ratios, we obtain the Cabibbo-Kobayashi-Maskawa matrix elements |V(cd)|=0.239(10)(24)(20) and |V(cs)|=0.969(39)(94)(24), where the last errors are from experimental uncertainties. 相似文献
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6.
B. Dipierro M. Abid 《The European Physical Journal B - Condensed Matter and Complex Systems》2012,85(2):69
Using linear instability theory and nonlinear dynamics, the Rayleigh-Taylor instability
of variable density swirling flows is studied. It is found that the flow topology could be
predicted, when the instability sets in, using a function χ dependent on
density and axial and azimuthal velocities. It is shown that even when the inner
axial-flow is heavier than the outer one (a favorable case for the development of the
Rayleigh-Taylor instability thanks to the centrifugal force) the instability is not
necessarily Rayleigh-Taylor-dominated. It is also shown that when the Rayleigh-Taylor
instability develops, it is helical. 相似文献
7.
Annalisa?Cesaroni Serena?Dipierro Matteo?NovagaEmail author Enrico?Valdinoci 《Calculus of Variations and Partial Differential Equations》2018,57(2):64
We study a nonlocal perimeter functional inspired by the Minkowski content, whose main feature is that it interpolates between the classical perimeter and the volume functional. This nonlocal functionals arise in concrete applications, since the nonlocal character of the problems and the different behaviors of the energy at different scales allow the preservation of details and irregularities of the image in the process of removing white noises, thus improving the quality of the image without losing relevant features. In this paper, we provide a series of results concerning existence, rigidity and classification of minimizers, compactness results, isoperimetric inequalities, Poincaré–Wirtinger inequalities and density estimates. Furthermore, we provide the construction of planelike minimizers for this generalized perimeter under a small and periodic volume perturbation. 相似文献
8.
ABSTRACTWe show that any given function can be approximated with arbitrary precision by solutions of linear, time-fractional equations of any prescribed order. This extends a recent result by Claudia Bucur, which was obtained for time-fractional derivatives of order less than one, to the case of any fractional order of differentiation. In addition, our result applies also to the ψ-Caputo-stationary case, and it will provide one of the building blocks of a forthcoming paper in which we will establish general approximation results by operators of any order involving anisotropic superpositions of classical, space-fractional and time-fractional diffusions. 相似文献
9.
Serena Dipierro Andrea Pinamonti Enrico Valdinoci 《Journal of Functional Analysis》2019,276(3):785-814
We consider stable solutions of semilinear equations in a very general setting. The equation is set on a Polish topological space endowed with a measure and the linear operator is induced by a carré du champs (equivalently, the equation is set in a diffusion Markov triple).Under suitable curvature dimension conditions, we establish that stable solutions with integrable carré du champs are necessarily constant (weaker conditions characterize the structure of the carré du champs and carré du champ itéré).The proofs are based on a geometric Poincaré formula in this setting. From the general theorems established, several previous results are obtained as particular cases and new ones are provided as well. 相似文献
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