Regularity and Strict Positivity of Densities for the Nonlinear Stochastic Heat Equations

Riassunto

In this paper, the authors 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, they establish the smooth joint density at multiple points.

Dettagli sul prodotto

• Autori: Le Chen, Yaozhong Hu, David Nualart
• Editore: American Mathematical Society
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 30.03.2022
• EAN: 9781470450007
• ISBN: 978-1-4704-5000-7
• Peso: 210 g
• Illustrazioni: Illustrations
• Serie: Memoirs of the American Mathematical Society
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Analisi