Search

Your search keyword '"Mathematical physics"' showing total 2 results
Start Over Descriptor "Mathematical physics" Topic parabolic differential equations Topic partial differential equations Publication Year Range Last 10 years Publisher american institute of physics
2 results on '"Mathematical physics"'

1. On the Problem of Recovering the Coefficients in a One-Dimensional Third Order Equation.

Author

Nikolaev, Nikolay N. and Popov, Sergey V.

Subjects
*MATHEMATICAL physics, *PARTIAL differential equations, *PARABOLIC differential equations, *WAVE equation, *MATHEMATICAL inequalities
Abstract

We prove the existence and uniqueness of solutions to inverse problems for third-order equations with the pointwise overdetermination. The unknowns are a solution to the equation and two or three external sources. [ABSTRACT FROM AUTHOR]

Published
2017
Full Text
View/download PDF

2. Vacuum isolating, blow up threshold, and asymptotic behavior of solutions for a nonlocal parabolic equation.

Author

Xiaoliang Li and Baiyu Liu

Subjects
*PARABOLIC differential equations, *DIRICHLET problem, *PARTIAL differential equations, *MATHEMATICAL physics, *PHYSICAL measurements
Abstract

In this paper, we consider a nonlocal parabolic equation associated with initial and Dirichlet boundary conditions. First, we discuss the vacuum isolating behavior of solutions with the help of a family of potential wells. Then we obtain a threshold of global existence and blow up for solutions with critical initial energy. Furthermore, for those solutions that satisfy J(u0) ≤ d and I(u0) ≠ 0, we show that global solutions decay to zero exponentially as time tends to infinity and the norm of blow-up solutions increases exponentially. [ABSTRACT FROM AUTHOR]

Published
2017
Full Text
View/download PDF

Catalog

Books, media, physical & digital resources
See catalog results