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Existence and uniqueness of solution for some time fractional parabolic equations involving the 1-Laplace operator 一类含1-拉普拉斯算子的分数阶抛物型方程解的存在唯一性
Pub Date : 2023-02-14 DOI: 10.1007/s42985-022-00222-y
C. O. Alves, Tahir Boudjeriou
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引用次数: 0
Some maximum principles for the drift Laplacian applied to complete spacelike hypersurfaces 应用于完全类空间超曲面的漂移拉普拉斯算子的一些极大原理
Pub Date : 2023-02-13 DOI: 10.1007/s42985-022-00221-z
Danilo F. da Silva, E. Lima, H. D. de Lima
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引用次数: 0
Existence and non-uniqueness of stationary states for the Vlasov-Poisson equation on R3 subject to attractive background charges. 具有吸引背景电荷的R3上Vlasov-Poisson方程稳态的存在性和非唯一性。
Pub Date : 2023-01-01 Epub Date: 2023-06-29 DOI: 10.1007/s42985-023-00241-3
Raphael Winter

We prove the existence of stationary solutions for the density of an infinitely extended plasma interacting with an arbitrary configuration of background charges. Furthermore, we show that the solution cannot be unique if the total charge of the background is attractive. In this case, infinitely many different stationary solutions exist. The non-uniqueness can be explained by the presence of trapped particles orbiting the attractive background charge.

我们证明了与任意背景电荷组态相互作用的无限扩展等离子体密度的稳定解的存在性。此外,我们证明了如果背景的总电荷是有吸引力的,则该解不可能是唯一的。在这种情况下,存在无限多个不同的平稳解。这种非唯一性可以用围绕吸引背景电荷的捕获粒子的存在来解释。
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引用次数: 0
Uniform large deviations for a class of semilinear stochastic partial differential equations driven by a Brownian sheet 一类由布朗页驱动的半线性随机偏微分方程的均匀大偏差
Pub Date : 2022-12-16 DOI: 10.1007/s42985-022-00220-0
L. Setayeshgar
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引用次数: 2
On the rigorous derivation of hydrodynamics of the Kuramoto model for synchronization phenomena 同步现象的Kuramoto模型流体力学的严格推导
Pub Date : 2022-12-13 DOI: 10.1007/s42985-022-00219-7
Young-Pil Choi
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引用次数: 0
A time-periodic reaction-diffusion population model of a species subjected to harvesting on the boundary of a protected habitat 保护区边界上受采伐的物种的时间周期反应-扩散种群模型
Pub Date : 2022-11-23 DOI: 10.1007/s42985-022-00216-w
K. D. Searle, J. V. van Vuuren
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引用次数: 0
Exhaustive existence and non-existence results for Hardy–Hénon equations in $${{,mathrm{{textbf{R}}},}}^n$$ R $${{,mathrm{{textbf{R}}},}}^n$$ R中hardy - hsamnon方程的穷举存在性和不存在性结果
Pub Date : 2022-11-22 DOI: 10.1007/s42985-022-00190-3
Y. Giga, Q. Ngô
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引用次数: 0
Families of solutions to the KPI equation given by an extended Darboux transformation 由扩展的达布变换给出的KPI方程的族解
Pub Date : 2022-11-21 DOI: 10.1007/s42985-022-00212-0
P. Gaillard
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引用次数: 0
On the initial-boundary value problem for a non-local elliptic-hyperbolic system related to the short pulse equation 与短脉冲方程相关的非局部椭圆-双曲系统的初边值问题
Pub Date : 2022-11-16 DOI: 10.1007/s42985-022-00208-w
G. Coclite, Lorenzo di Ruvo
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引用次数: 5
Phragmén–Lindelöf theorems for a weakly elliptic equation with a nonlinear dynamical boundary condition 具有非线性动态边界条件的弱椭圆方程的Phragmén-Lindelöf定理
Pub Date : 2022-11-09 DOI: 10.1007/s42985-023-00239-x
Keisuke Abiko
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引用次数: 0
期刊
SN partial differential equations and applications
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