£73.00

Regularity and Strict Positivity of Densities for the Nonlinear Stochastic Heat Equations (Memoirs of the American Mathematical Society)

Differential Equations

Price data last checked 54 day(s) ago - refreshing...

View at Amazon

We'll watch every seller, every day. One email when your price arrives.

It has never been this cheap. We have no record of a lower price.

£73 today · cheaper than every other day in the last 3 months

NEW HERE?

Amazon shows you one price. We show you all of them.

Tosheroon watches Amazon prices so you don't have to. Every product on Amazon has a price history — we make it visible. Set the price you'd actually pay, and we'll email you the second it gets there. No app, no account, one email.

WHAT'S ON THIS PAGE

↓ Price chart
when this has been cheap or pricey

↓ Forecast
where the price is heading next

↓ Statistics
all-time high & low, recent range

↑ Price alert
name your number, we'll email you

Price History & Forecast

Grey patches = out of stock. Cheaper = lower on the chart. Hover for exact prices.

Last 37 days • 37 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 37 days • 1 price levels

Days at Price

Price Analysis

Most common price: £73 (37 days, 100.0%)

Price range: £73 - £73

Price levels: 1 different prices over 37 days

Description

In this paper, we establish a necessary and sufficient condition for the existence and regularity of the density of the solution to a semilinear stochastic (fractional) heat equation with measure-valued initial conditions. Under a mild cone condition for the diffusion coefficient, we establish the smooth joint density at multiple points. The tool we use is Malliavin calculus. The main ingredient is to prove that the solutions to a related stochastic partial differential equation have negative moments of all orders. Because we cannot prove u(t, x) ? D? for measure-valued initial data, we need a localized version of Malliavin calculus. Furthermore, we prove that the (joint) density is strictly positive in the interior of the support of the law, where we allow both measure-valued initial data and unbounded diffusion coefficient. The criteria introduced by Bally and Pardoux are no longer applicable for the parabolic Anderson model. We have extended their criteria to a localized version. Our general framework includes the parabolic Anderson model as a special case.

Product Specifications

Format: paperback
ASIN: 1470450003
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Differential Equations
Domain: Amazon UK
Release Date: 30 March 2022
Listed Since: 24 September 2021

Barcode

No barcode data available

Regularity and Strict Positivity of Densities for the Nonlinear Stochastic Heat Equations (Memoirs of the American Mathematical Society)

It has never been this cheap. We have no record of a lower price.

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

The Parabolic Anderson Model: Random Walk in Random Potential (Pathways in Mathematics)

The Parabolic Anderson Model: Random Walk in Random Potential (Pathways in Mathematics)

Evolution Equations: Applications to Physics, Industry, Life Sciences and Economics: EVEQ2000 Conference in Levico Terme (Trento, Italy), October ... Equations and Their Applications, 55)

Higher-Order Time Asymptotics of Fast Diffusion in Euclidean Space: A Dynamical Systems Approach (Memoirs of the American Mathematical Society)

Partial Differential Equations: 214 (Graduate Texts in Mathematics, 214)

Nonlocal Diffusion Problems (Mathematical Surveys and Monographs)

Degenerate Diffusion Operators Arising in Population Biology (AM–185) (Annals of Mathematics Studies, 185)

Nonlinear Systems of Partial Differential Equations: Applications to Life and Physical Sciences

Degenerate Diffusion Operators Arising in Population Biology (Annals of Mathematics Studies): 185

Analysis and Geometry of Markov Diffusion Operators: 348 (Grundlehren der mathematischen Wissenschaften, 348)

Analysis and Geometry of Markov Diffusion Operators: 348 (Grundlehren der mathematischen Wissenschaften, 348)

Functional Analytic Techniques for Diffusion Processes (Springer Monographs in Mathematics)

Functional Analytic Techniques for Diffusion Processes (Springer Monographs in Mathematics)

Synchronization in Infinite-Dimensional Deterministic and Stochastic Systems: 204 (Applied Mathematical Sciences, 204)

Stochastic Partial Differential Equations (Chapman & Hall/CRC Applied Mathematics & Nonlinear Science)

Introduction to Heat Potential Theory: 182 (Mathematical Surveys and Monographs)

Nonlinear Diffusion Equations and Their Equilibrium States I: Proceedings of a Microprogram held August 25–September 12, 1986 (Mathematical Sciences Research Institute Publications, 12)

Variational Convergence And Stochastic Homogenization Of Nonlinear Reaction-diffusion Problems

Introduction to Monte-Carlo Methods for Transport and Diffusion Equations (Oxford Texts in Applied and Engineering Mathematics, 6)

Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics: 10 (Chapman & Hall/CRC Applied Mathematics and Nonlinear Science)

Partial Differential Equations II: Qualitative Studies of Linear Equations: 116 (Applied Mathematical Sciences, 116)

Stability of Infinite Dimensional Stochastic Differential Equations with Applications: 135 (Monographs and Surveys in Pure and Applied Mathematics)

Cross-Diffusion Systems: Dynamics, Coexistence and Persistence: 40 (De Gruyter Series in Nonlinear Analysis & Applications, 40)

CRC Press Exact Solutions of Nonlinear PDEs in Mechanics