Blow Up Solution for the Energy Critical Heat Equation

Explore the phenomena of blow-up solutions for critical Fujita equations in this advanced mathematics lecture. Delve into classical results, examining both infinite time and finite time blow-up scenarios. Learn about the innovative inner-outer method and its recent successes in this field. Gain insights into potential applications of this technique in other mathematical contexts. Enhance your understanding of complex mathematical concepts and cutting-edge research in the study of energy critical heat equations.