anhngq.wordpress.com
Ngô Quốc Anh | In math we trust, the rest we suspect | Page 2
https://anhngq.wordpress.com/page/2
December 31, 2014. Conformal change of the Laplace-Beltrami operator. Filed under: Uncategorized — Tags: conformal changes. 8212; Ngô Quốc Anh @ 23:55. Happy New Year 2015! In the last entry in 2014, I talk about conformal change of the Laplace-Beltrami operator. A Riemannian manifold of dimension. A conformal metric of. Recall the following formula for the Laplace-Beltrami operator. Calculated with respect to the metric. Is the determinant of. Then, it is natural to consider the relation between. Filed ...
anhngq.wordpress.com
IMO Shortlists | Ngô Quốc Anh
https://anhngq.wordpress.com/edocument/international-mathematical-olympiad
The International Mathematical Olympiad (IMO) Shortlisted Problems. Before the IMO takes place the IMO Problem Selection Committee chooses a subset of the proposed problems of all countries (IMO LongList, ILL). This subset contains 20-30 problems and is called IMO ShortList (ISL). This ISL is used to select the 6 IMO problems. 1996 – 2000. Your contribution is warmly welcome. Art of Problem Solving. IMO ShortList/LongList Project Group. 5 Comments ». 8212; July 14, 2012 @ 8:29. Comment by Ngô Quốc Anh.
anhngq.wordpress.com
Reversed Gronwall-Bellman’s inequality | Ngô Quốc Anh
https://anhngq.wordpress.com/2015/01/24/reversed-gronwalls-inequality
January 24, 2015. Reversed Gronwall-Bellman’s inequality. Filed under: Uncategorized — Tags: Gronwall inequality. 8212; Ngô Quốc Anh @ 23:01. In 1943. A nonlinear generalization of the Gronwall Bellman inequality is known as Bihari’s inequality. First, we consider the Gronwall inequality. Bounds by integrals based on lower bound. Be real-valued continuous functions defined on. And satisfies the differential inequality. Is bounded by the solution of the corresponding differential equation. That is to say.
anhngq.wordpress.com
Conformal Changes of the Green function for the conformal Laplacian | Ngô Quốc Anh
https://anhngq.wordpress.com/2014/12/21/conformal-changes-of-the-green-function-for-the-conformal-laplacian
December 21, 2014. Conformal Changes of the Green function for the conformal Laplacian. Filed under: Uncategorized — Tags: conformal changes. 8212; Ngô Quốc Anh @ 11:00. Long time ago, I talked about conformal changes for various geometric quantities on a given Riemannian manifold. Frequently used in conformal geometry in general, or when solving the prescribed scalar curvature equation in particular, is the conformal Laplacian, defined as follows. Is the scalar curvature of the metric. Such that for any.
anhngq.wordpress.com
On the simplicity of the first eigenvalue of elliptic systems with locally integrable weight | Ngô Quốc Anh
https://anhngq.wordpress.com/2015/04/28/on-the-simplicity-of-the-first-eigenvalue-of-elliptic-systems-with-locally-integrable-weight
April 28, 2015. On the simplicity of the first eigenvalue of elliptic systems with locally integrable weight. Filed under: Uncategorized — Ngô Quốc Anh @ 0:52. Of interest in this note is the simplicity of the first eigenvalue of the following problem. A simple variational argument shows that. Exists and can be characterized by. Further arguments show that. Is achieved by some positive pair. In the sense that for any test pair. By the simplicity of. We mean the eigenspace associated with. I did not consi...
anhngq.wordpress.com
Conformal change of the Laplace-Beltrami operator | Ngô Quốc Anh
https://anhngq.wordpress.com/2014/12/31/conformal-change-of-the-laplace-beltrami-operator
December 31, 2014. Conformal change of the Laplace-Beltrami operator. Filed under: Uncategorized — Tags: conformal changes. 8212; Ngô Quốc Anh @ 23:55. Happy New Year 2015! In the last entry in 2014, I talk about conformal change of the Laplace-Beltrami operator. A Riemannian manifold of dimension. A conformal metric of. Recall the following formula for the Laplace-Beltrami operator. Calculated with respect to the metric. Is the determinant of. Then, it is natural to consider the relation between. Can yo...
anhngq.wordpress.com
The conditions (NN), (P), (NN+) and (P+) associated to the Paneitz operator for 3-manifolds | Ngô Quốc Anh
https://anhngq.wordpress.com/2015/02/22/the-conditions-nn-p-nn-and-p-associated-to-the-paneitz-operator-for-3-manifolds
February 22, 2015. The conditions (NN), (P), (NN ) and (P ) associated to the Paneitz operator for 3-manifolds. Filed under: Uncategorized — Tags: Q-curvature. 8212; Ngô Quốc Anh @ 18:54. Of recent interest is the prescribed Q-curvature on closed Riemannian manifolds since it involves high-order differential operators. In a previous post. I have talked about prescribed Q-curvature on 4-manifolds. Recall that for 4-manifolds, this question is equivalent to finding a conformal metric. That is to solving.
anhngq.wordpress.com
The failure of compact Rellich-Kondrachov embedding: Unbounded domains and critical exponents | Ngô Quốc Anh
https://anhngq.wordpress.com/2015/01/07/the-failure-of-compact-rellich-kondrachov-embedding-unbounded-domains-and-critical-exponents
January 7, 2015. The failure of compact Rellich-Kondrachov embedding: Unbounded domains and critical exponents. Filed under: Uncategorized — Ngô Quốc Anh @ 19:49. In a very old entry, I talked about an extension of Rellich-Kondrachov. Theorem for embeddings between Sobolev spaces. For the sake of convenience, here is the statement of this extension:. Extension of Rellich-Kondrachov for bounded domains). Let. Be an open, bounded Lipschitz domain, and let. 1 The case of unbounded domains. In such a way that.
anhngq.wordpress.com
MSRI Workshops | Ngô Quốc Anh
https://anhngq.wordpress.com/edocument/msri-workshops
Here you can find a list of workshops and summer schools concerning general relativity hosted by MSRI. Hot Topics: Black Holes in Relativity. September 14, 2009 – September 18, 2009. Https:/ www.msri.org/workshops/522. July 09, 2012 – July 20, 2012. Https:/ www.msri.org/summer schools/657. Connections for Women: Mathematical General Relativity. September 03, 2013 – September 04, 2013. Https:/ www.msri.org/workshops/690. Ever since the epic work of Yvonne Choquet-Bruhat on the well-posedness of Einstein&#...
anhngq.wordpress.com
An extension of the Rellich-Kondrachov theorem | Ngô Quốc Anh
https://anhngq.wordpress.com/2010/05/05/an-extension-of-the-rellich-kondrachov-theorem
May 5, 2010. An extension of the Rellich-Kondrachov theorem. 8212; Tags: Rellich-Kondrachov. 8212; Ngô Quốc Anh @ 14:00. In mathematics, the Rellich-Kondrachov theorem is a compact embedding. Theorem concerning Sobolev spaces. It is named after the Italian-Austrian mathematician Franz Rellich. Be an open, bounded Lipschitz domain, and let. Then the Sobolev space. Is continuously embedded in the. And is compactly embedded in. It is worth noticing from the theory of Sobolev spaces that. Our aim is to prove.
