Semilinear Parabolic Equations with Nonmonotone Nonlinearity
スポンサーリンク
概要
- 論文の詳細を見る
A semilinear evolution equation of the type u_t-Δu-g_1(x, t, u)+g_2(x, t, u)=f on Ω×(0,T) is studied in the space L^1(Ω), where Ω is a bounded domain in R^N, and g_1(x, t, r) and g_2(x, t, r) are monotone continuous with respect to r and measurable with respect to x and t. An existence theorem for the initial value problem associated to this semilinear equation is proved. We then apply this existence result to solve the problem u_t-Δu-u^p+u^q=ν and u(・, 0)=μ with measures ν and μ.
- 湘南工科大学の論文
- 1989-03-31