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標(biāo)題: Titlebook: Distributions, Partial Differential Equations, and Harmonic Analysis; Dorina Mitrea Textbook 2018Latest edition Springer Nature Switzerlan [打印本頁]

作者: Julienne    時(shí)間: 2025-3-21 18:34
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書目名稱Distributions, Partial Differential Equations, and Harmonic Analysis被引頻次




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書目名稱Distributions, Partial Differential Equations, and Harmonic Analysis讀者反饋學(xué)科排名





作者: 神刊    時(shí)間: 2025-3-21 23:42

作者: 1分開    時(shí)間: 2025-3-22 03:41
https://doi.org/10.1007/978-1-4612-4250-5ain, both these brands of Sobolev spaces (defined intrinsically and via restriction) coincide for an integer amount of smoothness. A key role in the proof of this result is played by Calderón’s extension operator, mapping functions originally defined in the said Lipschitz domain to the entire Euclid
作者: 瑣事    時(shí)間: 2025-3-22 04:42
Textbook 2018Latest edition of mathematical interests will find this book to be a useful resource and complete self-studyguide. Throughout, a special effort has been made to develop the theory of distributions not as an abstract edifice but rather give the reader a chance to see the rationale behind various seemingly technica
作者: incredulity    時(shí)間: 2025-3-22 08:48

作者: Sedative    時(shí)間: 2025-3-22 14:58
Weak Derivatives,duced as a mean of extending the notion of solution to a more general setting, where the functions involved may lack standard pointwise differentiability properties. Here two classes of test functions are also defined and discussed.
作者: Sedative    時(shí)間: 2025-3-22 17:53

作者: Annotate    時(shí)間: 2025-3-23 01:06

作者: 編輯才信任    時(shí)間: 2025-3-23 03:20

作者: HAIL    時(shí)間: 2025-3-23 06:24
The Laplacian and Related Operators,er. While the natural starting point is the Laplacian, this study encompasses a variety of related operators, such as the bi-Laplacian, the poly-harmonic operator, the Helmholtz operator and its iterations, the Cauchy–Riemann operator, the Dirac operator, the perturbed Dirac operator and its iterati
作者: 抗生素    時(shí)間: 2025-3-23 12:43

作者: 水汽    時(shí)間: 2025-3-23 15:14
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 enti
作者: Adenoma    時(shí)間: 2025-3-23 21:02

作者: Creditee    時(shí)間: 2025-3-23 22:35

作者: Adj異類的    時(shí)間: 2025-3-24 05:18

作者: FADE    時(shí)間: 2025-3-24 07:51
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.
作者: Cursory    時(shí)間: 2025-3-24 12:41
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.
作者: 小步舞    時(shí)間: 2025-3-24 17:08
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
作者: 能量守恒    時(shí)間: 2025-3-24 19:04
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 writt
作者: glucagon    時(shí)間: 2025-3-24 23:46
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.
作者: Bumble    時(shí)間: 2025-3-25 05:36
Hypoelliptic Operators,rator 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.
作者: 笨拙的我    時(shí)間: 2025-3-25 10:24

作者: 壓迫    時(shí)間: 2025-3-25 13:45

作者: 狼群    時(shí)間: 2025-3-25 17:37
https://doi.org/10.1007/978-3-319-01625-2This chapter contains material pertaining to the Schwartz space of functions rapidly decaying at infinity and the Fourier transform in such a setting.
作者: nugatory    時(shí)間: 2025-3-25 22:00

作者: 顯示    時(shí)間: 2025-3-26 01:18

作者: AGOG    時(shí)間: 2025-3-26 07:27

作者: 和音    時(shí)間: 2025-3-26 10:43

作者: 勾引    時(shí)間: 2025-3-26 15:38

作者: FLOAT    時(shí)間: 2025-3-26 16:57

作者: concubine    時(shí)間: 2025-3-26 20:57

作者: 生意行為    時(shí)間: 2025-3-27 02:41
The Heat Operator and Related Versions,This chapter has a twofold aim: determine all fundamental solutions that are tempered distributions for the heat operator and related versions (including the Schr?dinger operator), then use this as a tool in obtaining the solution of the generalized Cauchy problem for the heat operator.
作者: prosperity    時(shí)間: 2025-3-27 07:13
The Wave Operator,Here all fundamental solutions that are tempered distributions for the wave operator are determined and then used as a tool in the solution of the generalized Cauchy problem for this operator.
作者: Transfusion    時(shí)間: 2025-3-27 11:33

作者: cauda-equina    時(shí)間: 2025-3-27 16:49

作者: 浮雕    時(shí)間: 2025-3-27 19:14

作者: Shuttle    時(shí)間: 2025-3-27 23:29
https://doi.org/10.1007/978-981-16-0819-3features, such as the concept of support, multiplication with a smooth function, distributional derivatives, tensor product, and a partially defined convolution product. Here the nature of distributions with higher order gradients continuous or bounded is also discussed.
作者: encomiast    時(shí)間: 2025-3-28 03:32
https://doi.org/10.1007/978-3-662-10451-4ns are introduced and studied, including homogeneous and principal value distributions. Significant applications to harmonic analysis and partial differential equations are singled out. For example, a general, higher dimensional jump-formula is deduced in this chapter for a certain class of tempered
作者: covert    時(shí)間: 2025-3-28 09:57

作者: 熱情的我    時(shí)間: 2025-3-28 13:19
Theory of Quantum Transport at Nanoscaleer. While the natural starting point is the Laplacian, this study encompasses a variety of related operators, such as the bi-Laplacian, the poly-harmonic operator, the Helmholtz operator and its iterations, the Cauchy–Riemann operator, the Dirac operator, the perturbed Dirac operator and its iterati
作者: 不透氣    時(shí)間: 2025-3-28 16:24

作者: arcane    時(shí)間: 2025-3-28 18:48
https://doi.org/10.1007/978-1-4612-4250-5ng 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 enti
作者: collagenase    時(shí)間: 2025-3-29 02:54

作者: 先兆    時(shí)間: 2025-3-29 04:20
Dorina MitreaPursues the development of distribution theory simultaneously with relevant incursions into partial differential equations and harmonic analysis.Written in a concise, rigorous, and largely self-contai
作者: affect    時(shí)間: 2025-3-29 10:12

作者: 裙帶關(guān)系    時(shí)間: 2025-3-29 13:35
https://doi.org/10.1007/978-3-030-03296-8Distributions; Fourier Analysis; Fundamental Solutions; Partial Diffential Equations texbook; Potential
作者: 廣大    時(shí)間: 2025-3-29 15:43

作者: 藥物    時(shí)間: 2025-3-29 21:34
Distributions, Partial Differential Equations, and Harmonic Analysis978-3-030-03296-8Series ISSN 0172-5939 Series E-ISSN 2191-6675
作者: 膽小懦夫    時(shí)間: 2025-3-30 01:10
https://doi.org/10.1007/978-981-16-0819-3duced as a mean of extending the notion of solution to a more general setting, where the functions involved may lack standard pointwise differentiability properties. Here two classes of test functions are also defined and discussed.




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