Differential harnack inequality for nonlinear heat equations
نویسندگان
چکیده
منابع مشابه
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...
Differential Harnack Estimates for Time-dependent Heat Equations with Potentials
In this paper, we prove a differential Harnack inequality for positive solutions of time-dependent heat equations with potentials. We also prove a gradient estimate for the positive solution of the time-dependent heat equation.
متن کاملGrowth Theorems and Harnack Inequality for Second Order Parabolic Equations
A general approach to both divergence (D) and non-divergence (ND) second order parabolic equations is presented, which is based on three growth theorem. These growth theorems look identical in both cases (D) and (ND). They allow to prove the Harnack inequality and other related facts by general arguments, which do not depend on the structure (divergence or nondivergence) of equations. In turn, ...
متن کاملHarnack ’ s inequality for some nonlocal equations and application
In this paper, we establish a Harnack’s inequality for positive solutions of the nonlocal inhomogeneous problem
متن کاملHarnack Inequality for Second Order Linear Ordinary Differential Inequalities
The Harnack Inequality is an important tool in the study of qualitative properties of solutions to elliptic and degenerate elliptic partial differential equations. Perhaps the first paper that discusses such an inequality for ordinary linear differential equations of second order is the article A Harnack Inequality for Ordinary Differential Equations [1]. The objective of this project was to ex...
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: Journal of Mathematical Inequalities
سال: 2014
ISSN: 1846-579X
DOI: 10.7153/jmi-08-59