標(biāo)題: Titlebook: Elliptic Partial Differential Equations of Second Order; David Gilbarg,Neil S. Trudinger Book 2001Latest edition Springer-Verlag GmbH Germ [打印本頁(yè)] 作者: negation 時(shí)間: 2025-3-21 16:33
書(shū)目名稱Elliptic Partial Differential Equations of Second Order影響因子(影響力)
書(shū)目名稱Elliptic Partial Differential Equations of Second Order影響因子(影響力)學(xué)科排名
書(shū)目名稱Elliptic Partial Differential Equations of Second Order網(wǎng)絡(luò)公開(kāi)度
書(shū)目名稱Elliptic Partial Differential Equations of Second Order網(wǎng)絡(luò)公開(kāi)度學(xué)科排名
書(shū)目名稱Elliptic Partial Differential Equations of Second Order被引頻次
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書(shū)目名稱Elliptic Partial Differential Equations of Second Order年度引用學(xué)科排名
書(shū)目名稱Elliptic Partial Differential Equations of Second Order讀者反饋
書(shū)目名稱Elliptic Partial Differential Equations of Second Order讀者反饋學(xué)科排名
作者: 蚊子 時(shí)間: 2025-3-21 22:07
Laplace’s Equationere .. In this chapter we develop some basic properties of harmonic, subharmonic and superharmonic functions which we use to study the solvability of the classical Dirichlet problem for ., . = 0. As mentioned in Chapter 1, Laplace’s equation and its inhomogeneous form, Poisson’s equation, are basic 作者: 蠟燭 時(shí)間: 2025-3-22 01:36 作者: 流浪者 時(shí)間: 2025-3-22 07:15
Poisson’s Equation and the Newtonian Potentialion . defined on ?. by .. From Green’s representation formula (2.16), we see that when . is sufficiently smooth a ..(.) function may be expressed as the sum of a harmonic function and the Newtonian potential of its Laplacian. It is not surprising therefore that the study of . . = . can largely be ef作者: Frequency 時(shí)間: 2025-3-22 11:39 作者: AWRY 時(shí)間: 2025-3-22 15:18 作者: AWRY 時(shí)間: 2025-3-22 18:28
Sobolev Spacesquation (2.3)) a C2(Q) solution of .=. satisfies the integral identity . for all . ∈ .. ∈ (.). The bilinear form . is an inner product on the space ..(.) and the completion of ..(.) under the metric induced by (7.2) is consequently a Hubert space, which we call ..(.).作者: 單調(diào)性 時(shí)間: 2025-3-23 00:11 作者: 嚴(yán)厲譴責(zé) 時(shí)間: 2025-3-23 02:40
Maximum and Comparison Principlesapter 3. We consider second order, quasilinear operators . of the form (10.1) . = ..(., ., .).. + .(., ., .), .. = .., where . = (....., ..) is contained in a domain . of ?., . ≥ 2, and, unless other-wise stated, the function . belongs to ..(.). The coefficients of ., namely the functions ..(., ., .作者: 捕鯨魚(yú)叉 時(shí)間: 2025-3-23 09:14
Topological Fixed Point Theorems and Their Applicationtes for solutions. This reduction is achieved through the application of topological fixed point theorems in appropriate function spaces. We shall first formulate a general criterion for solvability and illustrate its application in a situation where the required apriori estimates are readily derive作者: 沒(méi)有貧窮 時(shí)間: 2025-3-23 11:06
Equations in Two Variablessions. This chapter is concerned with aspects of the theory that are specifically two-dimensional in character, although the basic results on quasilinear equations can be extended to higher dimensions by other methods. As will be seen, the special features of this theory are founded on strong aprior作者: enmesh 時(shí)間: 2025-3-23 14:48
H?lder Estimates for the Gradientounded domain .. From the global results we shall see that Step IV of the existence procedure described in Chapter 11 can be carried out if, in addition to the hypotheses of Theorem 11.4, we assume that either the coefficients .. are in ..(.Ω × ? × ?.) or that . is of divergence form or that . = 2. 作者: antidote 時(shí)間: 2025-3-23 21:00 作者: ABASH 時(shí)間: 2025-3-23 23:45
Global and Interior Gradient Boundss of the form . in terms of the gradients on the boundary . and the magnitudes of the solutions. The resulting estimates facilitate the establishment of Step III of the existence procedure described in Section 11.3. On combination with the estimates of Chapters 10,13 and 14, they yield existence the作者: overshadow 時(shí)間: 2025-3-24 04:57 作者: 有節(jié)制 時(shí)間: 2025-3-24 07:45
https://doi.org/10.1007/978-3-8348-8347-6ere .. In this chapter we develop some basic properties of harmonic, subharmonic and superharmonic functions which we use to study the solvability of the classical Dirichlet problem for ., . = 0. As mentioned in Chapter 1, Laplace’s equation and its inhomogeneous form, Poisson’s equation, are basic models of linear elliptic equations.作者: 抗生素 時(shí)間: 2025-3-24 12:01
,Zeichen und Zahlen und ihre Verknüpfungen,ial operators of the form ., where . = (..,..., ..) lies in a domain . of ?., .≥2. It will be assumed, unless otherwise stated, that . belongs to ..(.). The summation convention that repeated indices indicate summation from 1 to . is followed here as it will be throughout. . will always denote the operator (3.1).作者: 神經(jīng) 時(shí)間: 2025-3-24 16:49 作者: Assignment 時(shí)間: 2025-3-24 19:24 作者: 鄙視 時(shí)間: 2025-3-25 00:00 作者: 有抱負(fù)者 時(shí)間: 2025-3-25 03:52
Sobolev Spacesquation (2.3)) a C2(Q) solution of .=. satisfies the integral identity . for all . ∈ .. ∈ (.). The bilinear form . is an inner product on the space ..(.) and the completion of ..(.) under the metric induced by (7.2) is consequently a Hubert space, which we call ..(.).作者: propose 時(shí)間: 2025-3-25 10:35 作者: conscience 時(shí)間: 2025-3-25 12:01
Thomas D?rfler,Eberhard Rothfu?In this chapter we consider the solvability of the classical Dirichlet problem for certain types of . elliptic equations; that is, nonlinear elliptic equations that are not quasilinear.作者: DAMP 時(shí)間: 2025-3-25 16:52 作者: 哥哥噴涌而出 時(shí)間: 2025-3-25 21:56 作者: 有組織 時(shí)間: 2025-3-26 03:45
https://doi.org/10.1007/978-3-642-61798-02000; 25Gxx; 35Jxx; Classification; Elliptic PDE; Mathematical; Mathematical Subject Classification 2000; S作者: Blood-Vessels 時(shí)間: 2025-3-26 07:19
978-3-540-41160-4Springer-Verlag GmbH Germany, part of Springer Nature 2001作者: 使害羞 時(shí)間: 2025-3-26 12:17
Elliptic Partial Differential Equations of Second Order978-3-642-61798-0Series ISSN 1431-0821 Series E-ISSN 2512-5257 作者: 單色 時(shí)間: 2025-3-26 15:31
Classics in Mathematicshttp://image.papertrans.cn/e/image/307803.jpg作者: enchant 時(shí)間: 2025-3-26 17:33
https://doi.org/10.1007/978-3-0348-4160-3ear theory required in the process. This means we shall be concerned with the solvability of boundary value problems (primarily the Dirichlet problem) and related general properties of solutions of linear equations . and of quasilinear equations .. Here . = (..,..., ..), where .. = ./.., .. = ../.. 作者: 榨取 時(shí)間: 2025-3-26 22:15 作者: 入會(huì) 時(shí)間: 2025-3-27 04:12
,Zeichen und Zahlen und ihre Verknüpfungen,ial operators of the form ., where . = (..,..., ..) lies in a domain . of ?., .≥2. It will be assumed, unless otherwise stated, that . belongs to ..(.). The summation convention that repeated indices indicate summation from 1 to . is followed here as it will be throughout. . will always denote the o作者: Atmosphere 時(shí)間: 2025-3-27 09:01
https://doi.org/10.1007/978-3-0348-5001-8ion . defined on ?. by .. From Green’s representation formula (2.16), we see that when . is sufficiently smooth a ..(.) function may be expressed as the sum of a harmonic function and the Newtonian potential of its Laplacian. It is not surprising therefore that the study of . . = . can largely be ef作者: BROTH 時(shí)間: 2025-3-27 11:14
,Puzzles mit verschiebbaren Kl?tzen, 8. This material will be familiar to a reader already versed in basic functional analysis but we shall assume some acquaintance with elementary linear algebra and the theory of metric spaces. Unless otherwise indicated, all linear spaces used in this book are assumed to be defined over the real num作者: Delude 時(shí)間: 2025-3-27 15:50
Die trigonometrischen Functionen,amental observation that equations with Holder continuous coefficients can be treated locally as a perturbation of constant coefficient equations. From this fact Schauder [SC 4, 5] was able to construct a global theory, an extension of which is presented here. Basic to this approach are apriori esti作者: 最初 時(shí)間: 2025-3-27 21:27 作者: Missile 時(shí)間: 2025-3-28 01:32 作者: organism 時(shí)間: 2025-3-28 04:00 作者: 可行 時(shí)間: 2025-3-28 09:58 作者: 起來(lái)了 時(shí)間: 2025-3-28 12:51
https://doi.org/10.1007/978-3-662-08572-1sions. This chapter is concerned with aspects of the theory that are specifically two-dimensional in character, although the basic results on quasilinear equations can be extended to higher dimensions by other methods. As will be seen, the special features of this theory are founded on strong aprior作者: Affiliation 時(shí)間: 2025-3-28 18:33 作者: lacrimal-gland 時(shí)間: 2025-3-28 22:31 作者: 稀釋前 時(shí)間: 2025-3-29 01:41
,Erst wiegen, dann w?gen, dann wagen,s of the form . in terms of the gradients on the boundary . and the magnitudes of the solutions. The resulting estimates facilitate the establishment of Step III of the existence procedure described in Section 11.3. On combination with the estimates of Chapters 10,13 and 14, they yield existence the作者: 身體萌芽 時(shí)間: 2025-3-29 04:07 作者: GIST 時(shí)間: 2025-3-29 07:17
Elliptic Partial Differential Equations of Second Order作者: Limerick 時(shí)間: 2025-3-29 12:18 作者: 發(fā)誓放棄 時(shí)間: 2025-3-29 17:45
Schaltalgebra-Boolesche Algebra,eless these estimates are of considerable importance since they seem to be the principal factor in determining the solvability character of the Dirichlet problem. This will be evidenced by the non-existence results at the end of the chapter.作者: STYX 時(shí)間: 2025-3-29 21:37
1431-0821 at a researcher in elliptic PDEs should possess the day s/he gets a permanent academic position. . . .”? SIAM Newsletter.978-3-540-41160-4978-3-642-61798-0Series ISSN 1431-0821 Series E-ISSN 2512-5257 作者: Default 時(shí)間: 2025-3-30 01:11 作者: 繁榮中國(guó) 時(shí)間: 2025-3-30 05:23 作者: superfluous 時(shí)間: 2025-3-30 08:36 作者: ANTI 時(shí)間: 2025-3-30 14:06
,Erst wiegen, dann w?gen, dann wagen,e structural conditions to be satisfied by the derivatives of the coefficients ..,.. In Section 15.4 we shall see that these derivative conditions can be relaxed somewhat for equations in divergence form, where different types of arguments are appropriate.作者: 豎琴 時(shí)間: 2025-3-30 18:26 作者: jettison 時(shí)間: 2025-3-30 23:25
Book 2001Latest edition authors have taken trouble to make the treatment self-contained. It (is) suitable required reading for a PhD student. Although the material has been developed from lectures at Stanford, it has developed into an almost systematic coverage that is much longer than could be covered in a year‘s lecture作者: 豐富 時(shí)間: 2025-3-31 02:51 作者: 小淡水魚(yú) 時(shí)間: 2025-3-31 05:52
Strong Solutionsepended on the operator . under consideration having a “divergence form” while the concept of classical solution made sense for operators with completely arbitrary coefficients. In this chapter our concern is with the intermediate situation of . solutions.作者: 顛簸下上 時(shí)間: 2025-3-31 10:58
