Linear parabolic equations with strong boundary degeneration

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود 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

A Strong Regularity Result for Parabolic Equations

We consider a parabolic equation with a drift term u+b∇u−ut = 0. Under the condition divb = 0, we prove that solutions possess dramatically better regularity than those provided by standard theory. For example, we prove continuity of solutions when not even boundedness is expected.

متن کامل

The Quenching of Solutions of Linear Parabolic and Hyperbolic Equations with Nonlinear Boundary Conditions

In this paper we examine the initial-boundary value problems (a) limu__.-q,(u)= +o. For problem (a) we show that there is a positive number Lo such that if L<-L o, u(x,t)<_l-8 for some 8>0 for all t>0, while if L>Lo, u(L,t) reaches one in finite time while ut(L,t becomes unbounded in that time. For problem (fl) it is shown that if L is sufficiently small, then u(L, t)_<-8 for all t>0 while if L...

متن کامل

Boundary Behavior of Solutions of Parabolic Equations

A boundary backward Harnack inequality is proved for positive solutions of second order parabolic equations in non-divergence form in a bounded cylinder Q = (0; T) which vanish on @ x Q = @ (0; T) ; where is a bounded Lipschitz domain in R n. This inequality is applied to the proof of the HH older continuity of the quotient of two positive solutions vanishing on a portion of @ x Q: 1. Introduct...

متن کامل

Nyström Discretization of parabolic Boundary Integral Equations

A Nyström method for the discretization of thermal layer potentials is proposed and analyzed. The method is based on considering the potentials as generalized Abel integral operators in time, where the kernel is a time dependent surface integral operator. The time discretization is the trapezoidal rule with a corrected weight at the endpoint to compensate for singularities of the integrand. The...

متن کامل

Free Boundary Problems for Parabolic Equations

An address delivered at the Ann Arbor meeting of the American Mathematical Society on November 29, 1969, by invitation of the Committee to Select Hour Speakers for Western Sectional Meetings; received by the editors April 9,1969. AMS 1969 subject classifications. Primary 3562, 3578.

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: Journal of Elliptic and Parabolic Equations

سال: 2020

ISSN: 2296-9020,2296-9039

DOI: 10.1007/s41808-020-00061-1