Zobrazeno 1 - 10
of 250
pro vyhledávání: '"Jingxue Yin"'
Null controllability of nonlinear control systems governed by coupled degenerate parabolic equations
Publikováno v:
Electronic Journal of Differential Equations, Vol 2019, Iss 123,, Pp 1-15 (2019)
This article concerns the null controllability of a nonlinear control system governed by coupled degenerate parabolic equations. We first establish the Carleman estimate and the observability inequality for solutions to the conjugate problem. Then
Externí odkaz:
https://doaj.org/article/1f2cd730e6c74604a960dd5413bdaa96
Autor:
Liangwei Wang, Jingxue Yin
Publikováno v:
Electronic Journal of Differential Equations, Vol 2017, Iss 10,, Pp 1-10 (2017)
In this article, we find that $\mu_c\equiv 2N/(N(m-1)+2)$ is the critical exponent for the asymptotic behavior of rescaled solutions $t^{\mu/2}u(t^\beta x,t)$ for the porous medium equation.
Externí odkaz:
https://doaj.org/article/4c09f705951f4ea0922568ec298cafaa
Autor:
Hailong Ye, Jingxue Yin
Publikováno v:
Electronic Journal of Differential Equations, Vol 2015, Iss 83,, Pp 1-9 (2015)
Uniqueness of self-similar very singular solutions with compact support are proved for the non-Newtonian polytropic filtration equation with gradient absorption $$ \frac{\partial u}{\partial t} =\hbox{div}(|\nabla u^m|^{p-2}\nabla u^m) -|\nabla u
Externí odkaz:
https://doaj.org/article/5de9cb2623b24ae88e7b9af3de74164a
Publikováno v:
Electronic Journal of Differential Equations, Vol 2014, Iss 137,, Pp 1-14 (2014)
In this article, we establish the existence of minimizers for energy integrals associated with the $p$-Laplacian in $\mathbb{R}^N$ with the admissible set being a rearrangement class of a given function. Some representation formulae of the minimiz
Externí odkaz:
https://doaj.org/article/402885c710fb47d7b8abd23af62fd8c5
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2011, Iss 10, Pp 1-19 (2011)
In this paper, we prove the existence of nontrivial nonnegative classical time periodic solutions to the viscous diffusion equation with strongly nonlinear periodic sources. Moreover, we also discuss the asymptotic behavior of solutions as the viscou
Externí odkaz:
https://doaj.org/article/fd99cfa94ed24a039357741056a69176
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2010, Iss 52, Pp 1-20 (2010)
In this paper, we study one-dimensional Newtonian filtration equation including unbounded sources with multiple delays. The existence of nonnegative non-trivial time periodic solutions will be established by the Leray-Schauder fixed point theorem bas
Externí odkaz:
https://doaj.org/article/3bfeda5f9f2d4f54a492f948f1b1e903
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2010, Iss 27, Pp 1-15 (2010)
This paper is concerned with the multiplicity of positive solutions of boundary value problem for the fourth-order quasilinear singular differential equation $$ (|u''|^{p-2}u'')''=\lambda g(t)f(u),\quad 01$, $\lambda>0$. We apply the fixed point inde
Externí odkaz:
https://doaj.org/article/f984c8be3b434c118b56108793d57012
Publikováno v:
Electronic Journal of Differential Equations, Vol 2006, Iss 132, Pp 1-12 (2006)
In this note, we study the existence of the weak solutions for the p-Laplacian with strong resonance, which generalizes the previous results in one-dimension.
Externí odkaz:
https://doaj.org/article/f92f17f16d034a4a8c513187e03c0b8b
Autor:
Zejia Wang, Jingxue Yin
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2003, Iss 17, Pp 1-8 (2003)
In this paper we prove the uniqueness of bounded solutions to a viscous diffusion equation based on approximate Holmgren's approach.
Externí odkaz:
https://doaj.org/article/20b1f61cea004eb49238186708acaa1a
Autor:
Jingxue Yin, Changchun Liu
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2001, Iss 2, Pp 1-14 (2001)
In this paper we study the radial symmetric solutions of the two-dimensional Cahn-Hilliard equation with degenerate mobility. We adopt the method of parabolic regularization. After establishing some necessary uniform estimates on the approximate solu
Externí odkaz:
https://doaj.org/article/d63c423bb8154b68926bda60046701f6