General extinction results for stochastic partial differential equations and applications

General extinction results for stochastic partial differential equations and applications

Let L be a positive definite self-adjoint operator on the L2-space associated to a σ-finite measure space. Let H be the dual space of the domain of L1/2 w.r.t. L2(μ). By using an Itô type inequality for the H-norm and an integrability condition for the hyperbound of the semigroup Pt := e −Lt, general extinction results are derived for a class of continuous adapted processes on H. Main applicati...

global results on some nonlinear partial differential equations for direct and inverse problems

در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...

Applications of Stochastic Partial Differential Equations

s of the talks Robert Adler, Technion-Israel Institute of Technology, Israel On quantifying shape, with two applications to stochastic processes I shall discuss some classical Integral and Differential Geometric ways to classify shape, and describe 1. A new class of results about the excursion sets of smooth random fields which uses them. 2. An application of these classifiers to the study of t...

Stochastic Partial Differential Equations

Deterministic and Stochastic Nonlinear Partial Differential Equations and Applications

Deterministic and stochastic nonlinear partial differential equations with mixed features (e.g. partial hyperbolicity and anisotropicity) have played an important role in describing the models in physics, chemistry, finance and other real-world phenomena. Moreover, sitting at the interface between probability theory, mathematical analysis and theory of parabolic and hyperbolic partial different...