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Hace 3 días · Theorem 1.1. Let u be a strictly convex viscosity solution of on a domain \(\Omega \subset \mathbb R^n\) for \(n\ge 2\).Then u is smooth inside \(\Omega \).. In [7, 8], Pogorelov showed the Hessian estimate using the strictly convex solution as a cut-off function in a Bernstein–Pogorelov maximum principle argument; consequently interior regularity for strictly convex solutions of was derived.
Hace 4 días · In this paper, we provide a blow-up criterion for the density-dependent incompressible magnetohydrodynamic system with zero viscosity. The proof uses the Lp-method and the Kato–Ponce inequalities in the harmonic analysis. The novelty of our work lies in the fact that we deal with the case in which the resistivity η is positive.
Hace 4 días · Mathematics 2024, 12, 1510 2 of 8 In [10], the authors proved the local well-posedness of smooth solutions in Sobolev spaces. The aim of this article is to prove (7) for the system (1)–(6).
Hace 2 días · type, Hardy-type, Gagliardo-Nirenberg-type, Opial-type, reverse Minkowski, and reverse Hölder inequalities (see, e.g., [1 – 14]). In this work, we obtain new Opial-type inequalities, and we ...
Hace 1 día · The Tribunal of the Holy Office of the Inquisition ( Spanish: Tribunal del Santo Oficio de la Inquisición ), commonly known as the Spanish Inquisition ( Inquisición española ), was established in 1478 by the Catholic Monarchs, King Ferdinand II of Aragon and Queen Isabella I of Castile.
Hace 2 días · 林长寿在台湾大学完成了数学学士和硕士学位。随后，他于1983年在美国纽约大学获得数学博士学位，导师为世界著名数学家、微分几何与PDEs大师Louis Nirenberg。林长寿在1984年至1985年期间担任普林斯顿高等研究院IAS的成员。他于1987年至1990年在南洋理工大学任教。
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Hace 3 días · Robert Patrick Casey Sr. (January 9, 1932 – May 30, 2000) was an American lawyer and politician from Pennsylvania. A member of the Democratic Party, he served as the 42nd Governor of Pennsylvania from 1987-95. He previously served as a state senator (1963–68) and Auditor General of Pennsylvania (1969–77).
