A class of one-dimensional degenerate parabolic equations
نویسندگان
چکیده
منابع مشابه
On a class of degenerate parabolic equations of Kolmogorov type
We adapt the Levi’s parametrix method to prove existence, estimates and qualitative properties of a global fundamental solution to ultraparabolic partial differential equations of Kolmogorov type. Existence and uniqueness results for the Cauchy problem are also proved.
متن کاملAsymptotic Behavior of a Class of Degenerate Parabolic Equations
and Applied Analysis 3 2.1. Functional Spaces The appropriate Sobolev space for 1.1 is H 0 Ω , defined as a completion of C ∞ 0 Ω with respect to the norm
متن کاملOn Degenerate Parabolic Equations
Mohammed Kbiri Alaoui Department of Mathematics, King Khalid University, P.O. Box 9004, Abha, Saudi Arabia Correspondence should be addressed to Mohammed Kbiri Alaoui, mka [email protected] Received 31 March 2011; Accepted 28 July 2011 Academic Editor: Mihai Putinar Copyright q 2011 Mohammed Kbiri Alaoui. This is an open access article distributed under the Creative Commons Attribution License, which...
متن کاملNull–controllability of One–dimensional Parabolic Equations
We prove the interior null–controllability of one–dimensional parabolic equations with time independent measurable coefficients.
متن کاملA note on critical point and blow-up rates for singular and degenerate parabolic equations
In this paper, we consider singular and degenerate parabolic equations$$u_t =(x^alpha u_x)_x +u^m (x_0,t)v^{n} (x_0,t),quadv_t =(x^beta v_x)_x +u^q (x_0,t)v^{p} (x_0,t),$$ in $(0,a)times (0,T)$, subject to nullDirichlet boundary conditions, where $m,n, p,qge 0$, $alpha, betain [0,2)$ and $x_0in (0,a)$. The optimal classification of non-simultaneous and simultaneous blow-up solutions is determin...
متن کاملذخیره 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: Časopis pro pěstování matematiky
سال: 1986
ISSN: 0528-2195
DOI: 10.21136/cpm.1986.108153