Zobrazeno 1 - 10
of 11 916
pro vyhledávání: '"global existence"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 11, Pp 30230-30262 (2024)
This study explored the time asymptotic behavior of the Schrödinger equation with an inhomogeneous energy-critical nonlinearity. The approach follows the concentration-compactness method due to Kenig and Merle. To address the primary challenge posed
Externí odkaz:
https://doaj.org/article/39acfff09db14540a4731e1d43d72d39
Autor:
Li Bin
Publikováno v:
Advances in Nonlinear Analysis, Vol 13, Iss 1, Pp 185-206 (2024)
The aim of this article is to consider a three-dimensional Cauchy problem for the parabolic-elliptic system arising from biological transport networks. For such problem, we first establish the global existence, uniqueness, and uniform boundedness of
Externí odkaz:
https://doaj.org/article/eabcf4e01d434a3f9a4dff83d1bfcfad
Autor:
Liu Dengming, Chen Qi
Publikováno v:
Open Mathematics, Vol 22, Iss 1, Pp 509-523 (2024)
This article is devoted to the global existence and extinction behavior of the weak solution to a fast diffusion pp-Laplace equation with logarithmic nonlinearity and special medium void. By applying energy estimates approach, Hardy-Littlewood-Sobole
Externí odkaz:
https://doaj.org/article/690fcbd68f834bd2a714f57c23a58c6e
Autor:
Huo Wentao, Fang Zhong Bo
Publikováno v:
Advances in Nonlinear Analysis, Vol 13, Iss 1, Pp 89-120 (2024)
This article is concerned with the qualitative properties for the Cauchy problem of a non-Newtonian filtration equation with a reaction source term and volumetric moisture content. On the basis of the slowly decaying behavior of volumetric moisture c
Externí odkaz:
https://doaj.org/article/9529f1e31db545e5b260f6656e175904
Publikováno v:
Communications in Analysis and Mechanics, Vol 16, Iss 3, Pp 528-553 (2024)
In this paper, we considered a singular parabolic -Laplacian equation with logarithmic nonlinearity in a bounded domain with homogeneous Dirichlet boundary conditions. We established the local solvability by the technique of cut-off combining with th
Externí odkaz:
https://doaj.org/article/ee718a06a21c4de5afa3d8342777651f
Autor:
Yaxin Zhao, Xiulan Wu
Publikováno v:
AIMS Mathematics, Vol 9, Iss 8, Pp 22883-22909 (2024)
This paper considers a class of higher-order nonlocal parabolic equations with special coefficient. We apply the Faedo-Galerkin approximation method and cut-off technique to obtain the local solvability. Furthermore, based on the framework of the mod
Externí odkaz:
https://doaj.org/article/3985d3db686d4379afbe4509e358a8a1