We consider the natural time-dependent fractional p -Laplacian equation posed in the whole Euclidean space, with parameter \\(12\\) has been dealt with in a recent paper. We study here the "fast" regime \\(1 Vázquez, Juan LuisSpringer Berlin HeidelbergCalculus of Variations and Partial ...
In this paper we are devoted to a time-independent fractional Schrödinger equation(−Δ)αu+V(x)u=f(x,u)inRN,where(−Δ)αstands for the fractional Laplacian of orderα∈(0,1),fis either asymptotically linear or superquadratic growth. Under appropriate assumptions onVandf, we prove ...
Uniqueness of non-linear ground states for fractional Laplacians in ${\\mathbb{R}}$ R We prove uniqueness of ground state solutions Q = Q(|x|) ≥ 0 of the non-linear equation $$(-\\\Delta)^s Q+Q-Q^{\\\alpha+1}= 0 \\\quad {m in} \... Rupert,L.,Frank,... - 《Acta...
Laplace's equation [lə′pläs·əz i‚kwā·zhən] (acoustics) An equation for the speedcof sound in a gas; it may be writtenc= √(γp/ρ), wherepis the pressure, ρ is the density, and γ is the ratio of specific heats. ...
需要金币:*** 金币 (10金币=人民币1元)分数阶不可压缩Navier-Stokes-Coriolis 方程周期解的存在性Existence of Periodic Solutions to the Fractional Navier-Stokes-Coriolis Equation-来源:应用数学进展(第2022001期)-汉斯出版社.pdf 关闭预览 想预览更多内容,点击免费在线预览全文 免费在线预览全文 Advances...
摘要: In this paper we study obstacle problems for the Navier (spectral) fractional Laplacian (ΔΩ ) s of order s ∈ (0,1) in a bounded domain Ω R n .关键词: Mathematics - Analysis of PDEs 35R11 49J40 DOI: 10.1134/S0965542517030113 被引量: 3 ...
Spectrum of the fractional $p-$Laplacian in $\\mathbb{R}^N$ and decay estimate for positive solutions of a Schr"odinger equation In this paper, we prove the existence of unbounded sequence of eigenvalues for the fractional p- p- Laplacian with weight in \\mathbb{R}^N. \\mathbb{R}^N...
POTENTIAL THEORETIC APPROACH TO SCHAUDER ESTIMATES FOR THE FRACTIONAL LAPLACIAN. 来自 arXiv.org 喜欢 0 阅读量: 26 作者:BUCUR,CLAUDIA,KARAKHANYAN,ARAM,L.摘要: We present an elementary approach for the proof of Schauder estimates for the equation (?��)su(x) = f(x), 0 representation ...
A general fractional total variation-Gaussian (GFTG) prior for Bayesian inverse problems 主持人:时聪 副教授 报告人:郑光辉 副教授 时间:2022-09-13 15:30-16:30 地点:腾讯会议 677-738-019 单位:湖南大学 摘要: The Bayesian inference is widely used in many scientific and engineering problems, especi...
We consider Monte Carlo methods for simulating solutions to the analogue of the Dirichlet boundary value problem in which the Laplacian is replaced by the fractional Laplacian and boundary conditions are replaced by conditions on the exterior of the domain. Specifically, we consider the analogue of ...