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1. |
Record Nr. |
UNINA9910463346903321 |
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Autore |
Precup Radu |
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Titolo |
Linear and semilinear partial differential equations [[electronic resource] ] : an introduction / / Radu Precup |
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Pubbl/distr/stampa |
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Berlin, : Radu Precup De Gruyter, [2013] |
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ISBN |
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Descrizione fisica |
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1 online resource (296 p.) |
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Collana |
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De Gruyter Textbook |
De Gruyter textbook |
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Classificazione |
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Disciplina |
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Soggetti |
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Differential equations, Linear |
Differential equations, Partial |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Front matter -- Preface -- Notation -- Contents -- Part I. Classical Theory -- Chapter 1. Preliminaries -- Chapter 2. Partial Differential Equations and Mathematical Modeling -- Chapter 3. Elliptic Boundary Value Problems -- Chapter 4. Mixed Problems for Evolution Equations -- Chapter 5. The Cauchy Problem for Evolution Equations -- Part II. Modern Theory -- Chapter 6. Distributions -- Chapter 7. Sobolev Spaces -- Chapter 8. The Variational Theory of Elliptic Boundary Value Problems -- Part III. Semilinear Equations -- Chapter 9. Semilinear Elliptic Problems -- Chapter 10. The Semilinear Heat Equation -- Chapter 11. The Semilinear Wave Equation -- Chapter 12 Semilinear Schrödinger Equations -- Bibliography -- Index |
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Sommario/riassunto |
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The text is intended for students who wish a concise and rapid introduction to some main topics in PDEs, necessary for understanding current research, especially in nonlinear PDEs. Organized on three parts, the book guides the reader from fundamental classical results, to some aspects of the modern theory and furthermore, to some techniques of nonlinear analysis. Compared to other introductory books in PDEs, this work clearly explains the transition from classical to generalized solutions and the natural way in which Sobolev spaces appear as completions of spaces of continuously differentiable |
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functions with respect to energetic norms. Also, special attention is paid to the investigation of the solution operators associated to elliptic, parabolic and hyperbolic non-homogeneous equations anticipating the operator approach of nonlinear boundary value problems. Thus the reader is made to understand the role of linear theory for the analysis of nonlinear problems. |
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2. |
Record Nr. |
UNISA996389755403316 |
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Autore |
Tavernier Jean-Baptiste <1605-1689.> |
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Titolo |
Collections of travels through Turky into Persia, and the East-Indies [[electronic resource] ] : Giving an account of the present state of those countries. As also a full relation of the five years wars, between Aureng-Zebe and his brothers in their father's life-time, about the succession. And a voyage made by the Great Mogul (Aureng-Zebe) with his army from Dehli to Lahor, from Lahor to Bember, and from thence to the kingdom of Kachemire, by the Mogols, call'd The paradise of the Indies. Together with a relation of the kingdom of Japan and Tunkin, and of their particular manners and trade. To which is added a new description of the grand seignior's seraglio, and also of all the kingdoms that encompass the Euxine and Caspian seas. Being the travels of Monsieur Tavernier Bernier, and other great men: adorned with many copper plates. The first volume |
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Pubbl/distr/stampa |
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London, : printed for Moses Pitt at the Angel in St. Pauls Church-yard, M.DC.LXXXIV. [1684] |
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Descrizione fisica |
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[16], 184, 195-264; [2], 214; [6], 113, [1] p., plates : ill |
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Altri autori (Persone) |
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PhillipsJohn <1631-1706.> |
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Soggetti |
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Iran Description and travel Early works to 1800 |
Turkey Description and travel Early works to 1800 |
India Description and travel Early works to 1800 |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Tavernier Bernier = Jean-Baptiste Tavernier (translation of part of his: Les six voyages. Paris, 1676). |
Translated by John Phillips. Translation also attributed to Edmund Everard and Henry Oldenburg. |
"The six travels of John Baptista Tavernier, Baron of Aubonne, through |
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Turky and Persia to the Indies" and "A new relation of the inner-part of the grand seignor's seraglio" have separate dated title pages, pagination and register. |
Item at reel 1801:4 includes both vols. of Collections of travels through Turky into Persia, and the East-Indies bound together. |
Item at reel 1840:2a and 1840:2b includes "The six travels of John Baptista Tavernier, Baron of Aubonne, through Turky and Persia to the Indies ... The second part" and "A new relation of the inner-part of the grand seignor's seraglio" only. |
Reproduction of the original in the British Library. |
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Sommario/riassunto |
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