Existence and Nonexistence of Fujita-Type Critical Exponents for Isotropic and Anisotropic Semi-Linear Parabolic Systems

Critical Exponents of Fujita Type for In

Critical Exponents of Fujita Type for Inhomogeneous Parabolic Equations and Systems

✍ C Bandle; H.A Levine; Qi S Zhang 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 176 KB

We consider the large-time behavior of sign-changing solutions of inhomogeneous parabolic equations and systems. For example, for u t = u + u p + w x in R n × 0 T , we show the following: If n ≥ 3 and R n w x dx > 0 and 1 < p ≤ n/ n -2 , then all solutions blow up in finite time, while if p > n/ n -