Nonlinear Diffusion Problems with Free Boundaries: Convergence, Transition Speed, and Zero Number Arguments

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

Convergence of free boundaries in discrete obstacle problems

We show that a piecewise linear finite element approximation of the obstacle problem gives an approximate free boundary converges, in an appropriate distance, to the free boundary of the continuous problemunder a stability condition on the obstacle.

متن کامل

Convergence and sharp thresholds for propagation in nonlinear diffusion problems

We study the Cauchy problem ut = uxx + f (u) (t > 0, x ∈ R1), u(0, x) = u0(x) (x ∈ R1), where f (u) is a locally Lipschitz continuous function satisfying f (0) = 0. We show that any nonnegative bounded solution with compactly supported initial data converges to a stationary solution as t → ∞. Moreover, the limit is either a constant or a symmetrically decreasing stationary solution. We also con...

متن کامل

A strong convergence theorem for solutions of zero point problems and fixed point problems

Zero point problems of the sum of two monotone mappings and fixed point problems of a strictly pseudocontractive mapping are investigated‎. ‎A strong convergence theorem for the common solutions of the problems is established in the framework of Hilbert spaces‎.

متن کامل

Free boundaries in problems with hysteresis.

Here, we present a survey concerning parabolic free boundary problems involving a discontinuous hysteresis operator. Such problems describe biological and chemical processes 'with memory' in which various substances interact according to hysteresis law. Our main objective is to discuss the structure of the free boundaries and the properties of the so-called 'strong solutions' belonging to the a...

متن کامل

Moment problems and boundaries of number triangles

The boundary problem for graphs like Pascal’s but with general multiplicities of edges is related to a ‘backward’ problem of moments of the Hausdorff type.

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: SIAM Journal on Mathematical Analysis

سال: 2015

ISSN: 0036-1410,1095-7154

DOI: 10.1137/140994848