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[null,"1.","Record Nr.",null,"UNINA9910710100703321"]
[null,null,"Autore",null,"Shives T. R"]
[null,null,"Titolo",null,"Fractographic examination of Sabreliner landing gear fracture / / T. Robert Shives"]
[null,null,"Pubbl/distr/stampa",null,"Gaithersburg, MD : , : U.S. Dept. of Commerce, National Institute of Standards and Technology, , 1973"]
[null,null,"Descrizione fisica",null,"1 online resource"]
[null,null,"Collana",null,"NBSIR ; ; 73-117"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","1973."]
[{"$nulls":4},"Contributed record: Metadata reviewed, not verified. Some fields updated by batch processes."]
[{"$nulls":4},"Title from PDF title page."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,"2.","Record Nr.",null,"UNINA9910799230903321"]
[null,null,"Autore",null,"Novruzi Arian"]
[null,null,"Titolo",null,"A Short Introduction to Partial Differential Equations"]
[null,null,"Pubbl/distr/stampa",null,"Cham : , : Springer, , 2024"]
[{"$nulls":4},"©2023"]
[null,null,"ISBN",null,"3-031-39524-7"]
[null,null,"Edizione",null,"[1st ed.]"]
[null,null,"Descrizione fisica",null,"1 online resource (225 pages)"]
[null,null,"Collana",null,"CMS/CAIMS Books in Mathematics Series ; ; v.11"]
[null,null,"Disciplina",null,"515.353"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,"Nota di contenuto",null,"Intro -- Preface -- Contents -- 1 Notations and review -- 1.1 Continuous differentiable functions -- 1.2 Domains and Ck (∂Ω)  spaces -- 1.2.1 Partition of unity -- 1.2.2 Domains and Ck (∂Ω)  spaces -- 1.3 Review of some important results -- 1.3.1 Some results from Lp(Ω) spaces -- 1.3.2 Some results from (Functional) Analysis -- 1.3.3 An application: Ordinary Differential Equations -- Problems -- 2 Partial differential equations -- 2.1 Some prototypes of PDEs -- Problems -- 3 First-order PDEs: classical and  weak solutions -- 3.1 Method of characteristics -- 3.2 Classical local solutions to first-order PDEs -- 3.2.1 Classical local solutions: flat boundary -- 3.2.1.1 Boundary and initial conditions -- 3.2.1.2 Classical local solutions -- 3.2.2 Classical local solutions: non-flat boundary -- 3.3 Conservation laws and weak solutions -- Problems -- 4 Second-order linear elliptic PDEs: maximum principle and classical solutions -- 4.1 Laplace equation and the method of separation of variables -- 4.2 Dirichlet problem in a ball -- 4.3 Maximum principle for Laplacian -- 4.4 Solution to the Dirichlet problem -- 4.4.1 Sub(super) harmonic functions and sub(super) solutions -- 4.4.2 Solution to the Dirichlet problem -- Problems -- 5 Distributions -- 5.1 Motivation -- 5.2 Distributions -- 5.2.1 Test functions -- 5.2.2 Distributions -- 5.2.3 Derivatives of distributions -- 5.3 Convolution of distributions and fundamental solutions -- 5.4 Tempered distributions and Fourier transform -- 5.4.1 Fourier transform -- 5.4.2 Tempered distributions and Fourier transform -- Problems -- 6 Sobolev spaces -- 6.1 Definitions and some first properties -- 6.1.1 Density of D in Wk,p -- 6.1.2 Some applications -- 6.2 Hs spaces and Fourier transform: Ws,p and Ws,p0 spaces -- 6.3 "]
[{"$nulls":4},"Continuous, compact, and dense embedding theorems in Hs(Ω) -- 6.3.1 Case Ω = RN -- 6.3.2 Case Ω    RN."]
[{"$nulls":4},"6.4 Boundary traces in Sobolev spaces -- 6.5 Poincaré inequality -- 6.6 H−s(Ω) and W−s,q(Ω) spaces -- Problems -- 7 Second-order linear elliptic PDEs: weak solutions -- 7.1 Introduction -- 7.2 Existence and uniqueness of weak solutions -- 7.2.1 Preliminary results -- 7.2.2 Dirichlet problem -- 7.2.3 Neumann problem -- 7.3 Nonlinear second-order elliptic PDEs -- Problems -- 8 Second-order parabolic and  hyperbolic PDEs -- 8.1 Heat and wave equations and the method  of separation of variables -- 8.1.1 Heat equation and the method of separation of variables -- 8.1.2 Wave equation and the method of separation of variables -- 8.2 Some preliminary results -- 8.3 Weak solution to the heat equation -- 8.4 Weak solution to the wave equation -- Problems -- 9 Annex -- 9.1 Annex: Chapter 1 -- 9.1.1 Continuous differentiable functions -- 9.1.2 Some results from Lp(Ω) spaces -- 9.1.3 An application: Ordinary Differential Equations -- 9.2 Annex: Chapter 3 -- 9.2.1 Classical local solutions to first-order PDEs -- 9.2.2 Conservation laws and weak solutions -- 9.3 Annex: Chapter 4 -- 9.3.1 Dirichlet problem in a ball -- 9.3.2 Maximum principle for second-order linear elliptic PDEs -- 9.3.3 Solution to the Dirichlet problem -- 9.3.3.1 Sub(super) harmonic functions and sub(super) solutions -- 9.3.3.2 Some auxiliary results from Analysis -- 9.3.3.3 Proof of Theorem 4.4.7 -- 9.4 Annex: Chapter 5 -- 9.4.1 Some useful inequalities -- 9.4.2 More operations with distributions. Examples -- 9.4.3 Convergence of distributions. Distributions of finite order -- 9.4.4 Convolution of distributions -- 9.4.5 Tempered distributions and Fourier transform -- 9.4.6 Tempered distributions and convolution -- 9.5 Annex: Chapter 6 -- 9.5.1 Continuous and compact embeddings -- 9.5.2 Extension and density results in Sobolev spaces -- 9.5.3 Boundary traces in Sobolev spaces."]
[{"$nulls":4},"9.6 Annex: Chapter 7 -- 9.6.1 Regularity of weak solutions -- 9.6.1.1 Regularity in the interior -- 9.6.1.2 Regularity near the boundary."]