Colonoscopy
发表于 2025-3-25 07:03:40
Harmonic FunctionsWe will now introduce the notion of the fundamental solution of the Laplacian on . and use it to express a representation formula of a function in terms of its gradient. This will serve us later to demonstrate Sobolev inequalities.
predict
发表于 2025-3-25 11:30:46
Symbolic CalculusIn this first section, we will see three distinct situations in which we can easily study the products (composition) and the adjoints of pseudo-differential operators.
厚颜无耻
发表于 2025-3-25 11:56:23
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Freeze
发表于 2025-3-25 18:30:12
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GONG
发表于 2025-3-25 23:59:16
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Perceive
发表于 2025-3-26 00:33:48
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河流
发表于 2025-3-26 05:33:11
Hilbertian Analysis, Duality and Convexitye and powerful theory: the study of Hilbert spaces. These are the spaces for which we have an analogue of Pythagoras’ theorem, so we can use the methods of Euclidean geometry in infinite-dimensional spaces. We will study the properties of orthogonality and convexity and see how they intervene in the study of the topological dual.
功多汁水
发表于 2025-3-26 10:23:08
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dry-eye
发表于 2025-3-26 15:16:31
Schauder’s Theoremontinuity argument (whose simplest version is given by Exercise 1.7). This argument demonstrates the ability to simplify the proof of the existence of solutions for equations with variable coefficients to that of equations with constant coefficients.
noxious
发表于 2025-3-26 17:50:35
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