ERRATUM: DIRICHLET PROBLEM ASSOCIATED TO DIVERGENCE FORM PARABOLIC EQUATIONS

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The Dirichlet problem for non - divergence parabolic equations with discontinuous in time coefficients

The Dirichlet problem for non-divergence parabolic equations with discontinuous in time coefficients.

متن کامل

The Dirichlet Problem for Elliptic Equations in Divergence and Nondivergence Form with Singular Drift Term

is a Carleson measure in a Lipschitz domain Ω ⊂ R, n ≥ 1, (here δ (X) = dist (X, ∂Ω)). If the harmonic measure dωL0 ∈ A∞, then dωL1 ∈ A∞. This is an analog to Theorem 2.17 in [8] for divergence form operators. As an application of this, a new approximation argument and known results we obtain: Let L be an elliptic operator with coefficients A and drift term b; L can be in divergence or nondiver...

متن کامل

The Dirichlet Problem for Quasilinear Elliptic and Parabolic Equations

We prove comparison results between continuous and dis-continuous viscosity sub-and super-solutions of the generalized Dirichlet problem for quasilinear elliptic and parabolic equations. The main consequence of these results is the uniqueness of continuous solutions of such problems, when they exist.

متن کامل

Dirichlet Problem for Stochastic Parabolic Equations in Smooth Domains

A second-order stochastic parabolic equation with zero Dirichlet boundary conditions is considered in a sufficiently smooth bounded domain. Existence, uniqueness, and regularity of the solution are established without assuming any compatibility relations. To control the solution near the boundary of the region, special Sobolev-type spaces with weights are introduced. To illustrate the results, ...

متن کامل

The Dirichlet problem for higher order equations in composition form

The present paper commences the study of higher order differential equations in composition form. Specifically, we consider the equation Lu = divB∗∇(a divA∇u) = 0, where A and B are elliptic matrices with complexvalued bounded measurable coefficients and a is an accretive function. Elliptic operators of this type naturally arise, for instance, via a pull-back of the bilaplacian ∆ from a Lipschi...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Communications in Contemporary Mathematics

سال: 2005

ISSN: 0219-1997,1793-6683

DOI: 10.1142/s0219199705001842