Existence and nonexistence of local/global solutions for a nonhomogeneous heat equation
نویسندگان
چکیده
منابع مشابه
The existence of solutions to the nonhomogeneous A - harmonic equation
* Correspondence: mathwy@hit. edu.cn Department of Mathematics, Harbin Institute of Technology, Harbin 150001, People’s Republic of China Abstract In this paper, we introduce the obstacle problem about the nonhomogeneous A-harmonic equation. Then, we prove the existence and uniqueness of solutions to the nonhomogeneous A-harmonic equation and the obstacle problem.
متن کاملQualitative Properties and Existence of Solutions for a Generalized Fisher-like Equation
This paper is devoted to the study of an eigenvalue second order differential equation, supplied with homogenous Dirichlet conditions and set on the real line. In the linear case, the equation arises in the study of a reaction-diffusion system involved in disease propagation throughout a given population. Under some relations upon the real parameters and coefficients, we present some existence ...
متن کاملNonhomogeneous Reenement Equation: Existence, Regularity and Biorthogonality
In this paper, the existence, regularity and biorthogonality of the solution of the nonhomogeneous reenement equation (x) = X k2Z Z d 0 c k (2x ? k) + G(x); x 2 IR d are considered. Also new class of biorthogonal wavelet basis on a non-uniform grid is constructed.
متن کاملExistence of positive solutions for a boundary value problem of a nonlinear fractional differential equation
This paper presents conditions for the existence and multiplicity of positive solutions for a boundary value problem of a nonlinear fractional differential equation. We show that it has at least one or two positive solutions. The main tool is Krasnosel'skii fixed point theorem on cone and fixed point index theory.
متن کاملExistence and Nonexistence of Global Solutions of a Fully Nonlinear Parabolic Equation
In the paper, we study the global existence of weak solution of the fully nonlinear parabolic problem (1.1)-(1.3) with nonlinear boundary conditions for the situation without strong absorption terms. Also, we consider the blow up of global solution of the problem (1.1)-(1.3) by using the convexity method.
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: Communications on Pure and Applied Analysis
سال: 2014
ISSN: 1534-0392
DOI: 10.3934/cpaa.2014.13.1465