Dear Velten,
I read the reviews made by others about your book and they all are excellent. As I looked at it, the book deals about PDEs . I would be interested to know if your book deals with the Huygen's principle ?
If it does, then I have a next question to all of us who are studying the wave equation in general and the principle that I have mentioned above. We all know that based on the parity (even-ness/odd-ness) of the dimension of the space, we do/do not have sharp signals of a wave front after a certain time.
If we think of an information in our memory as a wave front( or impulse), we then consider the existence of sharp signals as memories or loosing while the non existence as retrieving or loosing infomation/memory. It will imply then that the brain uses an intrinsic way of changing dimensions to retrieve and or forget an information which simply means that it does make a descent and/or ascent methods that we know from solutions of PDEs for sound waves.
I will be interested to know if you or other people who work on this area forward some comments. It will be an interesting topic to individuals who work in applied mathematics and neuro- science and the use of mathematics in explaining how the brain functions .
Dejenie A. Lakew, Ph.D.
Associate Professor of Mathematics
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