Výsledky vyhledávání - "Sánchez-González L"

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A class of Hamilton-Jacobi equations on Banach-Finsler manifolds

Autor: Jaramillo, J. A., Jimenez-Sevilla, M., Rodenas-Pedregosa, J. L., Sanchez-Gonzalez, L.

Publikováno v: Nonlinear Analysis: Theory, Methods and Applications 113(2015), 159-179

The concept of subdifferentiability is studied in the context of $C^1$ Finsler manifolds (modeled on a Banach space with a Lipschitz $C^1$ bump function). A class of Hamilton-Jacobi equations defined on $C^1$ Finsler manifolds is studied and several

Externí odkaz: http://arxiv.org/abs/1407.2977

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On smooth extensions of vector-valued functions defined on closed subsets of Banach spaces

Autor: Jimenez-Sevilla, M., Sanchez-Gonzalez, L.

Let $X$ and $Z$ be Banach spaces, $A$ a closed subset of $X$ and a mapping $f:A \to Z$. We give necessary and sufficient conditions to obtain a $C^1$ smooth mapping $F:X \to Z$ such that $F_{\mid_A}=f$, when either (i) $X$ and $Z$ are Hilbert spaces

Externí odkaz: http://arxiv.org/abs/1112.5888

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Characterization of a Banach-Finsler manifold in terms of the algebras of smooth functions

Autor: Jaramillo, J. A., Jimenez-Sevilla, M., Sanchez-Gonzalez, L.

In this note we give sufficient conditions to ensure that the weak Finsler structure of a complete $C^k$ Finsler manifold $M$ is determined by the normed algebra $C_b^k(M)$ of all real-valued, bounded and $C^k$ smooth functions with bounded derivativ

Externí odkaz: http://arxiv.org/abs/1108.5403

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On some problems on smooth approximation and smooth extension of Lipschitz functions on Banach-Finsler Manifolds

Autor: Jimenez-Sevilla, M., Sanchez-Gonzalez, L.

Let us consider a Riemannian manifold $M$ (either separable or non-separable). We prove that, for every $\epsilon>0$, every Lipschitz function $f:M\rightarrow\mathbb R$ can be uniformly approximated by a Lipschitz, $C^1$-smooth function $g$ with $\Li

Externí odkaz: http://arxiv.org/abs/1012.4770

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