Parabolic Anderson problem and intermittency / / René A. Carmona, S. A. Molchanov
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| Autore: |
Carmona R (René)
|
| Titolo: |
Parabolic Anderson problem and intermittency / / René A. Carmona, S. A. Molchanov
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 1994 |
| ©1994 | |
| Descrizione fisica: | 1 online resource (138 p.) |
| Disciplina: | 519.2 |
| Soggetto topico: | Stochastic partial differential equations |
| Random operators | |
| Gaussian processes | |
| Persona (resp. second.): | MolchanovS. A (Stanislav A.) |
| Note generali: | "March 1994, Volume 108, Number 518 (third of 5 numbers)." |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | ""CONTENTS""; ""I: INTRODUCTION""; ""II: EXISTENCE AND UNIQUENESS PROBLEMS""; ""II.1 The Deterministic Problem""; ""II.1.1 The Feynman�Kac Representation""; ""II.1.2 Special Notations""; ""II.1.3 Existence Problems""; ""II.1.4 Uniqueness""; ""II.2 The Random Case""; ""II.2.1 Setting of the Problem""; ""II.2.2 Continuity of the Feynman�Kac Formula""; ""II.2.3 The Case of a Homogeneous Potential Field""; ""II.2.4 The Case of a White Noise Potential""; ""II.2.5 A Diffusion Limit Approximation Result""; ""II.3 Existence and Equations for the Moments"" |
| ""III: MOMENT LYAPUNOV EXPONENTS AND INTERMITTENCY""""III.1 The White Noise Case""; ""III.1.1 Existence of the Moment Lyapunov Exponents""; ""III.1.2 An Explicitly Solvable Model""; ""III.1.3 First General Properties""; ""III.1.4 Small k Behavior of γ[sub(p)](K)""; ""III.1.5 Large K Behavior of γ[sub(p)](K)""; ""III.1.6 Asymptotic Behavior of the Critical Diffusion Constant""; ""III.1.7 Summary""; ""III.2 The Case of Finite Correlation Length""; ""III.2.1 Existence of γ[sub(p)](Ï?)""; ""III.2.2 Estimation of γ[sub(p)](Ï?)/P""; ""III.2.3 Continuity Results"" | |
| ""III.2.4 Lyapunov Exponents as Functions of K""""III.2.5 Another Explicitly Solvable Model""; ""IV: ALMOST SURE LYAPUNOV EXPONENTS""; ""IV.1 Existence""; ""IV.2 Proof of the Lower Bound""; ""IV.3 Proof of the Upper Bound""; ""V: CONCLUDING REMARKS"" | |
| Titolo autorizzato: | Parabolic Anderson problem and intermittency |
| ISBN: | 1-4704-0095-2 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910788753703321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; Number 518.