field of partial differential equations, Harnack's principle or Harnack's theorem is a corollary of Harnack's inequality which deals with the convergence...
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Arvid Falk Harnack (1913–1991), German anti-Nazi resistance fighter, film and stage director, brother of Arvid Harnack Harnack's principle This page lists...
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theory. Harnack's inequality applied to harmonic functions. He also worked on the real algebraic geometry of plane curves, proving Harnack's curve theorem...
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or principle is a theorem with wide applicability (e.g. the law of large numbers, law of cosines, Kolmogorov's zero–one law, Harnack's principle, the...
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he meant Fish-Harnack's tactful approach to the Nazis' increasing incursion into the university in 1931 and 1932. By the time Fish-Harnack arrived in Giessen...
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constant functions. In addition to these basic inequalities, one has Harnack's inequality, which states that positive harmonic functions on bounded domains...
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Mathematics Institutions University of Zagreb Thesis Special classes of Excessive Functions Satisfying Harnack's Principle (1990) Doctoral advisor Murali Rao...
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Loeb, Peter; Walsh, Bertram (1965). "The equivalence of Harnack's principle and Harnack's inequality in the axiomatic system of Brelot". Annales de...
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Li and Shing-Tung Yau discovered a new method for applying the maximum principle to control the solutions of the heat equation. Their results take the...
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convergence. Non-probabilistic proofs were available earlier. The boundary Harnack principle is proved using Brownian motion (see also). Non-probabilistic proofs...
16 KB (1,849 words) - 15:27, 22 April 2024