7 citations · 14 across the 5 of their papers we have counts for
5 papers
A New Necessary and Sufficient Condition for the Existence of Global Solutions to Semilinear Parabolic Equations on Bounded Domains
Soon-Yeong Chung, Jaeho Hwang
The purpose of this paper is to give a necessary and sufficient condition for the existence and non-existence of global solutions of the following semilinear parabolic equations \[…
A Condition for Blow-up solutions to Discrete -Laplacian Parabolic Equations under the mixed boundary conditions on Networks
Soon-Yeong Chung, Min-Jun Choi, Jaeho Hwang
The purpose of this paper is to investigate a condition \begin{equation*} (C_{p}) \hspace{1cm} α\int_{0}^{u}f(s)ds \leq uf(u)+βu^{p}+γ,\,\,u>0 \end{equation*} for some , …
A New Condition for the Concavity Method of Blow-up Solutions to p-Laplacian Parabolic Equations
Soon-Yeong Chung, Min-Jun Choi
In this paper, we consider an initial-boundary value problem of the p-Laplacian parabolic equations \begin{equation} \begin{cases} u_{t}\left(x,t\right)=\mbox{div}(|\nabla u\left(x…
A New Condition for Blow-up Solutions to Discrete Semilinear Heat Equations on Networks
Soon-Yeong Chung, Min-Jun Choi
The purpose of this paper is to introduce a new condition \[ \hbox{(C)} \] for some with $0<β\leq\frac{\le…
A New Condition for the Concavity Method of Blow-up Solutions to Semilinear Heat Equations
Soon-Yeong Chung, Min-Jun Choi
In this paper, we consider the semilinear heat equations under Dirichlet boundary condition \[ u_{t}\left(x,t\right)=Δu\left(x,t\right)+f(u(x,t)), & \left(x,t\right)\in Ω\times\lef…