Regularity and strict positivity of densities for the nonlinear stochastic heat equations
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| Main Authors: | , , |
|---|---|
| Format: | eBook Book |
| Language: | English |
| Published: |
Providence
American Mathematical Society
2021
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| Edition: | 1 |
| Subjects: | |
| ISBN: | 9781470450007, 1470450003 |
| Online Access: | Get full text |
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Table of Contents:
- Cover -- Title page -- Chapter 1. Introduction -- Acknowledgements -- Chapter 2. Preliminaries and Notation -- 2.1. Fundamental Solutions -- 2.2. Some Moment Bounds and Related Functions -- 2.3. Malliavin Calculus -- Chapter 3. Nonnegative Moments: Proof of Theorem 1.5 -- Chapter 4. Proof of Lemma 1.6 -- Chapter 5. Malliavin Derivatives of the Solution -- Chapter 6. Existence and Smoothness of Density at a Single Point -- 6.1. A Sufficient Condition -- 6.2. Proof of Theorem 1.1 -- Chapter 7. Smoothness of Joint Density at Multiple Points -- 7.1. Proof of Theorem 1.2 -- 7.2. Proof of Theorem 1.3 -- Chapter 8. Strict Positivity of Density -- 8.1. Two Criteria for Strict Positivity of Densities -- 8.2. Proof of Theorem 1.4 -- 8.3. Technical Propositions -- Appendix A. Appendix -- A.1. Some Miscellaneous Results -- A.2. A General Framework from Hu et al -- Bibliography -- Bibliography -- Back Cover