抗生素 发表于 2025-3-23 12:43:28
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Sobolev Spaces,ng smoothness (measured in a suitable sense). This is the key feature of the so-called Sobolev spaces, introduced and studied at some length in this chapter in a completely self-contained manner. The starting point is the treatment of global .-based Sobolev spaces of arbitrary smoothness in the entiAdenoma 发表于 2025-3-23 21:02:48
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The Laplacian and Related Operators,he well-posedness of the Poisson problem (equipped with a boundary condition at infinity), and derive qualitative/quantitative properties for the solution. Along the way, Cauchy-like integral operators are also introduced and their connections with Hardy spaces are brought to light in the setting of both complex and Clifford analyses.Cursory 发表于 2025-3-24 12:41:23
More on Fundamental Solutions for Systems,constant coefficient second- order systems in the upper-half space, and the relevance of these operators vis-a-vis to the solvability of boundary value problems for such systems in this setting, are discussed.小步舞 发表于 2025-3-24 17:08:29
Textbook 2018Latest editionts applications to partial differential equations and harmonic analysis. The book is written in a format suitable for a graduate course spanning either over one-semester, when the focus is primarily on the foundational aspects, or over a two-semester period that allows for the proper amount of time能量守恒 发表于 2025-3-24 19:04:11
0172-5939 ysis.Written in a concise, rigorous, and largely self-contaiThe aim of this book is to offer, in a concise, rigorous, and largely self-contained manner, a rapid introduction to the theory of distributions and its applications to partial differential equations and harmonic analysis. The book is writtglucagon 发表于 2025-3-24 23:46:57
https://doi.org/10.1007/978-3-030-16631-1rator possesses a fundamental solution with singular support consisting of the origin alone. In this chapter an integral representation formula and interior estimates for a subclass of hypoelliptic operators are proved as well.