Toronto Math Forum

APM346-2015F => APM346--Home Assignments => HA5 => Topic started by: Rong Wei on October 17, 2015, 08:35:43 PM

Title: HA5-P5
Post by: Rong Wei on October 17, 2015, 08:35:43 PM
http://www.math.toronto.edu/courses/apm346h1/20159/PDE-textbook/Chapter3/S3.2.P.html
Title: Re: HA5-P5
Post by: Rong Wei on October 17, 2015, 08:36:27 PM
This is my solution for P5 a)
Title: Re: HA5-P5
Post by: Rong Wei on October 17, 2015, 08:42:14 PM
its b
Title: Re: HA5-P5
Post by: Yeming Wen on October 20, 2015, 09:42:13 PM
For part a, when we increase $T$, we expand our domain, so $M(T)$ should be at least non-decreasing.
Similarly, for part b, when we expand the domain, $m(T)$ is non-increasing.