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Beteilige Person:	De Giorgi, Ennio 1928-1996 (VerfasserIn)
Format:	Buch
Sprache:	Englisch Italienisch
Veröffentlicht:	Berlin [u.a.] Springer 2006
Schlagwörter:	De Giorgi, Ennio De Giorgi, Ennio > 1928-1996 Mathematik Mathematics Analysis Aufsatzsammlung Bibliografie
Links:	http://deposit.dnb.de/cgi-bin/dokserv?id=2765156&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015005740&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Beschreibung:	Hier auch später erschienene, unveränderte Nachdrucke
Umfang:	X, 888 Seiten Illustrationen
ISBN:	9783540261698 9783642403798 3540261699

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Datensatz im Suchindex

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adam_text	Contents 1 Biography 1.1 Prizes and academic awards....................................... 1.2 Teaching and academic engagements................................ 1.3 The activities out of Pisa....................................... 1.4 Civil, political, and religious engagement....................... 2 The scientific work of Ennio De Giorgi 2.1 Complete՝ list of lie Giorgi’s scientific publications .......... 2.2 Prom the juvenile ¡tapers to Plateau’s Problem and the solution of Hilbert s 19lh Problem...................................... 2.2.1 The first articles....................................... 2.2.2 The development of the theory of perimeters.............. 2.2.3 The solution of flilberl’s If) Problem................. 2.2.4 The Plateau Problem and the Bernstein Theorem .... 2.3 Partial differential equations and the toi nidations of T-eon vergence 2.3.1 The examples of lioiiuniqueucss.......................... 2.3.2 Gevrey classes and hyperbolic equations.................. 2.3.3 Analytic solutions of equations with constant coefficients 2.3.1 The foundations of T-convcrgcncc ........................ 2.4 Asymptotic problems in the Calculus of Variations................ 2.4.1 The developments of T-convergence ....................... 2.4.2 Somicontinuity and relaxation problems................... 2.4.3 Kvolutioii problems for nondifferentiable functionals . . . 2.o The most recent developments in the Calculus of Variations . . . 2.3.1 Free discontinuity problems.............................. 2.3.2 Mean curvature evolution................................. 2.3.3 Minimizing movements..................................... 2.3.1 Minimal surface s in metric spaces....................... 2.G The work n foundations of Mathematics.......................... 2.G.1 The Seminar on Foundations................................ 2.G.2 The Free Construction Principle........................... 2.G.3 The frame Theory and the Ample Theory..................... 2.G. I The basic theories....................................... 2.G.3 The theories of 2000 ..................................... 1 1 2 3 4 5 5 19 19 20 21 22 23 23 24 25 26 27 27 29 30 31 31 31 32 33 33 33 35 36 36 37 VIII Contents 2.7 Remarks on some of the analytic works of Ennio Do Ciorgi, by Lonis Nirenberg..................................................... 38 2.8 Do Giorgi’s contribution to the regularity theory of elliptic equations, by Luis Caffarelli....................................... 42 3 Selected papers 49 1. Definition and analytic expression of the perimeter of a set .... 50 la. Definizione ed espressione analitica del perimetro di un insieme . . 54 2. On a general (r — 1 )-dimensional measure theory in a / ֊dimensional space............................................................... 58 2a. Su una teoria, generale della niisura (r - 1 (-dimensionale in uno spnzio ad r dimensioni.............................................. 79 3. A uniqueness theorem for the Cauchy problem relative to linear partial differential equations of parabolic type....................100 4. An example of non-unique solution to the Cauchy problem, for a partial differential equation of parabolic type.....................107 5. New theorems on (r — 1)-dimensionaI measures in /-dimensional space.............................................................. Ill 5a. Nuovi teoremi relativi alle misure (r— I )-dimensionali in uno spazio ad /՛ dimensioni................................................... 128 G. Some applications of a if-dimensional measure theory to the calculus of variations..............................................145 6a. Alciuie applicazioni al calcolo delle varia.zioni di una teoria della. misura /V-diinonsionale............................................ 147 7. On the differentiability and the analytieitv of extremals of regular multiple integrals................................................. 149 7a. Sulla differenziabilita e l’analiticita delle estremali degli integrali multipli regulari.................................................. 167 8. On the isoperimetric property of the hypersphere in the class of sets whose oriented boundary has finite measure.....................185 8a. Sulla propriety isoperimetrica dclTipersfera, nella classc degli insiemi aventi frontiera orientata di misura finita.................198 9. Complements to the (n — 1 )-dimensional measure theory in a //-dimensional space................................................212 10. Area-minimizing oriented boundaries..................................231 11. An extension of Bernstein theorem....................................264 12. Hypersurfaces of minimal measure in pluridimensional Euclidean spaces..............................................................271 13. Removable singularities of minimal hypersurfaces....................278 14. An example of discontinuous extremals for a variational problem of elliptic type ...................................................285 14a. Un esempio di estremali discontinue per un problema variazionalc di tipo ellittico...................................................288 15. Minimal Cones and the Bernstein Problem.............................291 16. An a priori estimate related to nonparametric minimal surfaces . . 316 17. A representation formula for analytic functions in Rn...............331 Conteutv IX 17a. Una formula di rappresentazioue per funzioni analitiche in R . . 335 18. A direct proof of the oxistouce of analytic .solutions in the real plane of partial differential equations with constant coefficients . 339 18a. Una dimostrazionc diretta dell esistenza di soluzioni analitiche nel piano reale di equazioni a derivate parziali a coefficient! cost anti 350 19. Convergence of the energy integrals for second order elliptic operators .........................................................361 19a. Sulla convergenza degli intcgrali dell’cnorgia per operator! ellittici del sccoudo ordine.................................................380 20. On the convergence of some sequences of area-like integrals .... 399 20a. Sulla convergenza di alcnnc successioni d’integrali del tipo dell’area..........................................................414 21. F-convcrgeuce and (7-convorgence ..................................429 21a. r-convergenza e (r-eonvergonza.....................................437 22. On hyperbolic equations with coefficients depending on time only 445 23. Convergence problems for functionals and operators.................487 24. On a type of varial ional convergent·*.............................517 25. Evolution problems in metric spaces and steepest, descent curves . 527 26. Generalized limits in Calculus of Variations.......................534 27. A framing theory for the Foundations of Mathematics................570 28. A self-reference orient ed theory for the foundations of mathematics 583 29. Introduction to free-disconiinuity problems........................634 30. Existence theorem for a minimum problem with free discontinuity set................................................................654 31. Xew functionals in Calculus of Variations..........................679 32. Conjectures on limits of some quasi linear parabolic equations and flow lay mean curvature ...........................................690 33. Xew problems on minimizing movements...............................699 34. Lectio Magistralis: The sapiential value of Mathematics”..........714 34a. Lectio Magistralis II valore sapienziale della lnatcmatica’’ .... 720 35. Fundamental principles of Mai hematics.............................726 36. Technical complements to the lecture of E. Do Giorgi...............734 37. Introducing basic theories for the Foundations of Mathematics . . 745 37a. Una propost a di teorin base dci Fondainenti della Matematica . . 758 38. An introduction of variables into the frame of the basic theories for the Foundations of Mathematics.....................................771 38a. Iutroduxione delle variabili nel quadro delle teoric base dei Fondainenti della Matematica.......................................783 3 J. General Plateau problem and geodesic functionals...................795 4(). Conjectures about some evolution problems..........................801 40a. Cougetturc riguardanti alcuni problemi di evoluzione...............814 41. Towards the axiomatic systems of the third millennium in Mathematics. Logic, and Computer Science........................827 12. Truth and judgments within a new axiomatic framework ............816 X Confluita -13. Overcoming ael theorelic reductioiiism in search of wider and dooper mutuai understanding between Matliematicians and scliolars of different sdentific and human disciplincs .........867 43a. Dal superamento del riduzionismo insiemistico alla ricerca di una più ampia e profonda comprensione tra matematici e altri studiosi di altre discipline scientifiche ed umanistiche......................878
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title	Selected papers
title_auth	Selected papers
title_exact_search	Selected papers
title_full	Selected papers Ennio de Giorgi
title_fullStr	Selected papers Ennio de Giorgi
title_full_unstemmed	Selected papers Ennio de Giorgi
title_short	Selected papers
title_sort	selected papers
topic	De Giorgi, Ennio De Giorgi, Ennio 1928-1996 (DE-588)131666762 gnd Mathematik Mathematics Analysis (DE-588)4001865-9 gnd
topic_facet	De Giorgi, Ennio De Giorgi, Ennio 1928-1996 Mathematik Mathematics Analysis Aufsatzsammlung Bibliografie
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