Special Session 173: Mathematical and Numerical Analysis on Nonlinear PDEs

Lifespan estimates of solutions for the semilinear parabolic equations
Berikbol Torebek
Institute of Mathematics and Mathematical Modeling
Kazakhstan
Co-Author(s):    
Abstract:
We will discuss lifespan estimates for blow-up solutions of semilinear parabolic equations on unbounded domains such as whole Euclidean space, half space and exterior domains. By using a suitable family of test functions, we obtain upper bounds for the lifespan of solutions. In some cases, we also derive lower bounds for the lifespan.