Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The goal of these proceedings and of the meeting of Gaeta was to celebrate and honor the mathematical achievements of Haim Brezis. The prodigious in?uence of histalentandhispersonalityinthedomainofnonlinearanalysisisunanimously- claimed!This impactis visible inthe huge number ofhis formerstudents (dozens), students of former students (hundreds) and collaborators (hundreds). Thus the Gaeta meeting was, to some extent, the family reunion of part of this large c- munity sharing a joint interest in the ?eld of elliptic and parabolic equations and pushing it to a very high standard. Italyhasa longtraditionandtasteforanalysisandwecouldnot?ndabetter placeneitheramorecompletesupportfortherealisationofourproject.Wehaveto thank here the university of Cassino, Napoli, Roma la Sapienza , the GNAMPA- Istituto di Alta Matematica, CNR-IAC, MEMOMAT, RTN Fronts-Singularities, the commune of Gaeta. Additional founding came from the universities of M- house and Zur ¨ ich. Finally, we are grateful to Birkh¨ auser and Dr. Hemp?ing who allowed us to record the talks of this conference in a prestigious volume. The organizers Progress in Nonlinear Di?erential Equations and Their Applications, Vol. 63, 1-12 c 2005 Birkh¨ auser Verlag Basel/Switzerland One-Layer Free Boundary Problems with Two Free Boundaries Andrew Acker Abstract. We studythe uniquenessand successive approximation of solutions of a class of two-dimensional steady-state ?uid problems involving in?nite periodic ?ows between two periodic free boundaries, each characterized by a ?ow-speed condition related to Bernoulli's law.

Partial differential equations --- differentiaalvergelijkingen

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Partial differential equations

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Heat equation. --- Heat --- Transmission --- Measurement. --- Partial differential equations --- Mathematical physics

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This is a collection of survey articles based on lectures presented at a colloquium and workshop in Geneva in 2003 to commemorate the 200th anniversary of the birth of Charles François Sturm. It aims at giving an overview of the development of Sturm-Liouville theory from its historical roots to present day research. It is the first time that such a comprehensive survey is made available in compact form. The contributions come from internationally renowned experts and cover a wide range of developments of the theory. The book can therefore serve both as an introduction to Sturm-Liouville theory and as background for ongoing research. The text is particularly strong on the spectral theory of Sturm-Liouville equations, which has given rise to a major branch of modern analysis. Among other current aspects of the theory discussed are oscillation theory for differential equations and Jacobi matrices, approximation of singular boundary value problems by regular ones, applications to systems of differential equations, extension of the theory to partial differential equations and to non-linear problems, and various generalizations of Borg's inverse theory. A unique feature of the book is a comprehensive catalogue of Sturm-Liouville differential equations covering more than fifty examples, together with their spectral properties. Many of these examples are connected with special functions and with problems in mathematical physics and applied mathematics. The volume is addressed to researchers in related areas, to advanced students and to those interested in the historical development of mathematics. The book will also be of interest to those involved in applications of the theory to diverse areas such as engineering, fluid dynamics and computational spectral analysis.

Partial differential equations --- Mathematical analysis --- differentiaalvergelijkingen --- analyse (wiskunde)

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

La presente raccolta di problemi ed esercizi nasce dall'esperienza maturata durante il corso di Equazioni a Derivate Parziali (EDP), tenuto nell'ambito delle lauree di primo e secondo livello presso il Politecnico di Milano. Il volume è diviso in due parti; nei primi quattro capitoli l'obiettivo è l'uso di tecniche classiche, come la separazione delle variabili, il principio di massimo o le trasformate di Laplace e Fourier, per risolvere problemi di diffusione, trasporto e vibrazione. Il quinto capitolo invita a familiarizzare con i risultati di base negli spazi di Hilbert, nella teoria delle distribuzioni (o funzioni generalizzate) di Schwartz e in quella degli spazi di Sobolev più comuni. Il sesto ed ultimo capitolo riguarda la formulazione variazionale o debole dei più importanti problemi iniziali e/o al bordo per equazioni ellittiche e di evoluzione. L'introduzione ad ogni capitolo contiene una sintesi degli strumenti teorici più utilizzati. Gli esercizi sono suddivisi in due gruppi: i problemi risolti, che costituiscono dei modelli metodologici di riferimento, la cui soluzione è presentata in dettaglio; gli esercizi proposti, che il lettore è invitato ad affrontare autonomamente. Anche di questi è presentata la soluzione, a volte in forma sintetica. Il testo è rivolto prevalentemente a studenti di Ingegneria, Fisica e Matematica, ma costituisce un utile punto di riferimento anche per coloro che desiderano approfondire alcuni aspetti teorici e modellistici di questa importante disciplina.

Partial differential equations --- Mathematical analysis --- Mathematics --- differentiaalvergelijkingen --- analyse (wiskunde) --- wiskunde