Results 111 to 120 of about 14,488 (245)

Life span of blow-up solutions for higher-order semilinear parabolic equations

open access: yesElectronic Journal of Differential Equations, 2010
In this article, we study the higher-order semilinear parabolic equation $$displaylines{ u_t+(-Delta)^m u=|u|^p, quad (t,x)in mathbb{R}^1_+imes mathbb{R}^N,cr u(0,x)= u_0(x),quad xin mathbb{R}^N.
Fuqin Sun
doaj  

Threshold result for semilinear parabolic equations

open access: yes, 2010
In this paper, we study initial boundary value problem of semilinear parabolic equations and prove that any positive solution of its steady-state problem is an initial datum threshold for the existence and nonexistence of global solution to the above mentioned parabolic ...
Dai, Qiuyi   +3 more
openaire   +2 more sources

Local solvability of semilinear parabolic equations

open access: yesHokkaido Mathematical Journal, 1991
Employing the iteration technique formerly used by N. D. Alikakos, the author proves the local existence of the mixed problem for semilinear parabolic equations with linear boundary condition of the third type. The treated class of equations covers most of the recently studied single equations with blowing-up solutions. A seemingly new estimate for the
openaire   +2 more sources

Solving Fredholm Integral Equations Using Deep Learning. [PDF]

open access: yesInt J Appl Comput Math, 2022
Guan Y, Fang T, Zhang D, Jin C.
europepmc   +1 more source

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