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Palabras claves o descriptores: CRITICAL EXPONENT (Comienzo)
2 registros cumplieron la condición especificada en la base de información BIBCYT. ()
Registro 1 de 2, Base de información BIBCYT
Publicación seriada
Referencias AnalíticasReferencias Analíticas
Autor: Yang, Meihua ; Sun, Chunyou
Título: Dynamics of strongly damped wave equations in locally uniform spaces: Attractors and asymptotic regularity
Páginas/Colación: pp. 1069-1101
Fecha: February 2009
Transactions of the American Mathematical Society Vol. 361, no. 2 February 2009
Información de existenciaInformación de existencia

Palabras Claves: Palabras: ASYMPTOTIC REGULARITY ASYMPTOTIC REGULARITY, Palabras: ATTRACTORS ATTRACTORS, Palabras: CRITICAL EXPONENT CRITICAL EXPONENT, Palabras: LOCALLY UNIFORM SPACES LOCALLY UNIFORM SPACES, Palabras: STRONGLY DAMPED WAVE EQUATION STRONGLY DAMPED WAVE EQUATION

Resumen
A surface defined over a field of characteristic 0 is called singular if the Néron-Severi lattice of is of rank

This paper is dedicated to analyzing the dynamical behavior of strongly damped wave equations with critical nonlinearity in locally uniform spaces. After proving the global well-posedness, we first establish the asymptotic regularity of the solutions which appears to be optimal and the existence of a bounded (in $ H^2_{lu}(\mathbb{R}^N)\times H^1_{lu}(\mathbb{R}^N)$) subset which attracts exponentially every initial $ H^1_{lu}(\mathbb{R}^N)\times L^2_{lu}(\mathbb{R}^N)$-bounded set with respect to the $ H^1_{lu}(\mathbb{R}^N)\times L^2_{lu}(\mathbb{R}^N)$-norm. Then, we show there is a $ (H ^1_{lu}(\mathbb{R}^N)\times L^2_{lu}(\mathbb{R}^N), H^1_\rho(\mathbb{R}^N)\times H^1_\rho(\mathbb{R}^N))$-global attractor, which reflects the strongly damped property of $ \Delta u_t$to some extent.

Registro 2 de 2, Base de información BIBCYT
Publicación seriada
Referencias AnalíticasReferencias Analíticas
Autor: Kondratiev, Vladimir
Título: Positive super-solutions to semi-linear second-order non-divergence type elliptic equations in exterior domains
Páginas/Colación: pp. 697-713
Fecha: February 2009
Transactions of the American Mathematical Society Vol. 361, no. 2 February 2009
Información de existenciaInformación de existencia

Palabras Claves: Palabras: CRITICAL EXPONENTS CRITICAL EXPONENTS, Palabras: NON-DIVERGENCE SEMI-LINEAR EQUATION NON-DIVERGENCE SEMI-LINEAR EQUATION

Resumen
We consider the open problem of determining the graded Betti numbers for fat point subschemes supported at general points of

We study the problem of the existence and non-existence of positive super-solutions to a semi-linear second-order non-divergence type elliptic equation $ \sum_{i,j=1}^N a_{ij}(x)\frac{\partial ^2 u}{\partial x_i \partial x_j}+u^p=0$, $ -\infty<p<\infty$, with measurable coefficients in exterior domains of $ \mathbb{R}^N$. We prove that in a ``generic'' situation there is one critical value of $ p$that separates the existence region from non-existence. We reveal the quantity responsible for the qualitative picture and for the numerical value of the critical exponent which becomes available under a mild stabilization condition at infinity.

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

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