Parabolic Anderson problem and intermittency / / René A. Carmona, S. A. Molchanov

• Autore: Carmona R (René)
• 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
• Soggetto genere / forma: Electronic books.
• 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 Feynmanâ€?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 Feynmanâ€?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.: 9910480611203321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; Number 518.