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Record Nr. |
UNINA9910483547903321 |
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Autore |
Gal Ciprian G. |
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Titolo |
Fractional-in-time semilinear parabolic equations and applications / / Ciprian G. Gal, Mahamadi Warma |
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Pubbl/distr/stampa |
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Cham, Switzerland : , : Springer, , [2020] |
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©2020 |
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ISBN |
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Edizione |
[1st ed. 2020.] |
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Descrizione fisica |
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1 online resource (XII, 184 p. 103 illus.) |
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Collana |
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Mathématiques & Applications ; ; 84 |
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Disciplina |
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Soggetti |
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Differential equations, Partial |
Engineering mathematics |
Applied mathematics |
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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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Nota di contenuto |
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1. Introduction.-1.1 Historical remarks .-1.2 On overview of main results and applications .-1.3 Results on nonlocal reaction-diffusion systems 2. The functional framework.-2.1 The fractional-in-time linear Cauchy problem .-2.2 Ultracontractivity and resolvent families .-2.3 Examples of sectorial operators .-3 The semilinear parabolic problem.-3.1 Maximal mild solution theory .-3.2 Maximal strong solution theory .-3.3 Differentiability properties in the case 0 < a < .-3.4 Global a priori estimates -- 3.5 Limiting behavior as a ®1 -- 3.6 Nonnegativity of mild solutions .-3.7 An application: the fractional Fisher-KPP equation .-4 Systems of fractional kinetic equations .-4.1 Nonlinear fractional reaction-diffusion .-4.2 The fractional Volterra-Lotka model .-4.3 A fractional nuclear reactor model .-5 Final remarks and open problems .-A Some supporting technical tools .-B Integration by parts formula for the regional fractional Laplacian .-C A zoo of fractional kinetic equations.-C.1 Fractional equation with nonlocality in space.-C.2 Fractional equation with nonlocality in time.-C.3 Space-time fractional nonlocal equation.-References.-Index. |
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Sommario/riassunto |
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This book provides a unified analysis and scheme for the existence and uniqueness of strong and mild solutions to certain fractional kinetic equations. This class of equations is characterized by the presence of a |
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nonlinear time-dependent source, generally of arbitrary growth in the unknown function, a time derivative in the sense of Caputo and the presence of a large class of diffusion operators. The global regularity problem is then treated separately and the analysis is extended to some systems of fractional kinetic equations, including prey-predator models of Volterra–Lotka type and chemical reactions models, all of them possibly containing some fractional kinetics. Besides classical examples involving the Laplace operator, subject to standard (namely, Dirichlet, Neumann, Robin, dynamic/Wentzell and Steklov) boundary conditions, the framework also includes non-standard diffusion operators of "fractional" type, subject to appropriate boundary conditions. This book is aimed at graduate students and researchers in mathematics, physics, mathematical engineering and mathematical biology whose research involves partial differential equations. . |
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2. |
Record Nr. |
UNINA9910815920903321 |
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Titolo |
Phonology in the 1980's / / edited by D.L. Goyvaerts |
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Pubbl/distr/stampa |
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Amsterdam : , : John Benjamins B.V., , [2013] |
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©2013 |
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ISBN |
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Descrizione fisica |
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1 online resource (655 p.) |
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Collana |
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Studies in the sciences of language series ; ; 4 |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Grammar, Comparative and general - Phonology |
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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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Published 1981 by E. Story-Scientia, Ghent. |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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PHONOLOGY IN THE 1980's; Editorial page; Title page; Copyright page; Dedication; Table of contents; INTRODUCTION; NOTES; BIBLIOGRAPHY; VERBAL PARADIGMS IN DUTCH; 0. Introduction; 1. D-Weakening; 2. Open syllable lengthening; 3. Prevocalic vowel deletion; 4. A Proposal for Dutch; 5. Two Implications for Phonological Theory; NOTES; BIBLIOGRAPHY; IN FAVOUR OF THE ARCHIPHONEME; NOTES; BIBLIOGRAPHY; ANALOGICAL SOURCES OF ABSTRACTNESS; NOTES; BIBLIOGRAPHY; NEW EXPLORATIONS INTO DERIVATIONAL |
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MORPHOLOGY; 1. INTRODUCTION; 2. A HARBINGER TO DERIVATIONAL MORPHOLOGY; 3. INTERLUDE ON HISTORY |
4. THE STAR FAMILY 5. CONCLUSION : ON ABSTRACTNESS; NOTES; BIBLIOGRAPHY; METATHESIS IN KASEM; NOTES; BIBLIOGRAPHY; NON-EVIDENCE FOR THE SEGMENTAL CYCLE IN KLAMATH; 1. INTRODUCTION; 2. KEAN'S RULES; 3. THE CYCLIC ANALYSIS; 4. PROBLEMS WITH SONORANT CLUSTER; 5. PROBLEMS WITH CONTRACTION; 6. NON-ARGUMENTS AGAINST THE VOCALIZATION ANALYSIS; 7. THE VOCALIZATION ANALYSIS; 8. MORE ON GLIDE-VOWEL ALTERNATIONS; 9. CONCLUSION; NOTES; BIBLIOGRAPHY; GENERATIVE PHONOLOGY VS. FINNISH PHONOLOGY : RETROSPECT AND PROSPECT; INTRODUCTION; 1. FINNISH PAST; 2. REMODELLING STRATEGIES; 2.1. Cosmetic remodeling. |
2.2. Philosophical remodeling 2.3. Empirical remodeling; 3. FINNISH PRESENT; 3.1. Rule classifications and psychological reality; 3.2. Fully specified underlying forms; 3.3. Optional rules, alternate underlying forms, and free variation; 4. FINNISH FUTURE; 4.1. Functionalism; 4.2. External evidence; NOTES; BIBLIOGRAPHY; H-ASPIREE ET LA SYLLABATION EXPRESSIONS DISJONCTIVES; A. CONTRACT ENTRE MOTS; B. POSTULATS PROVISOIRES DE SYLLABATION; C.CLASSES PHONOLOGIQUES D'EXPRESSIONS DISJONCTIVES; D. CARACTERISATION SYLLABIQUE DE LA CLASSE DE HEROS EN DE LA CLASSE DE HASARD; NOTES; BIBLIOGRAPHY |
THE SHAPE OF KUNJEN SYLLABLES NOTES; BIBLIOGRAPHY; ON THE FUNCTION OF BOUNDARIES IN PHONOLOGICAL RULES; INTRODUCTION; 1. GENERAL FRAMEWORK; 2. ON THE FUNCTION OF THE SYLLABLE IN PHONOLOGICAL RULES; 3. ON THE RANKING FUNCTION OF BOUNDARIES IN FRENCH PHONOLOGY; 4. CONCLUSION : FURTHER PERSPECTIVES; NOTES; BIBLIOGRAPHY; REPRESENTATION AND DERIVATION OF TONE; NOTES; BIBLIOGRAPHY; ENGLISH AS A TONE LANGUAGE; 1. Tone Melodies; 2. The autosegmental system; 3. English : Placement of Stress and the Star; 4. Deriving the Melody; 5. Farewell to Stress Subordination; 6. Nouns compounds |
7. More Tone Melodies 8. Conclusion; NOTES; BIBLIOGRAPHY; ON THE PHONOLOGICAL STATUS OF DOWNSTEP IN KIKUYU; 1. INTRODUCTION; 2. DOWNSTEP; 3. TONE SANDHI IN KIKUYU; NOTES; Appendix I : Speakers consulted; BIBLIOGRAPHY; A PHONOLOGICAL THEORY FOR INTONATION MODELS OF ENGLISH AND FRENCH; BIBLIOGRAPHY; EXPERIMENTAL PHONOLOGY AND ENGLISH STRESS; 1. THE ANN ARBOR STUDY; 2. THE AUSTIN STUDY; 3. DISCUSSION; 4. CONCLUSIONS; NOTES; BIBLIOGRAPHY; APPENDIX; THEORETICAL PHONOLOGY AND CHILD PHONOLOGY : ARGUMENTATION AND IMPLICATION; 1. Perceptual Factors; 2. The Use of Distinctive Features |
3. The Across-the-board Nature |
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Sommario/riassunto |
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This volume brings together a number of ground-breaking papers in the theory of phonology. |
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