Sanjiban Santra

5 Questions 5 Answers 0 Followers

Questions related from Sanjiban Santra

Is it possible to determine the other decaying solution if I know one decaying solution explicitly?

Consider the problem u''''+ m(x) u=0 on the real line where m changes sign, m goes to 1 as |x| to infinity. We know there are 4 independent solutions to this problem. I believe that there are two...

25 October 2013 366 2 View

When is a geodesic non-degenerate?

This a question in differential geometry. Examples of the non-degenerate geodesics are welcome.

07 October 2013 5,032 3 View

Can anyone suggest a good book to study Grushin type operators?

Would prefer a book for learners.

26 July 2013 8,047 2 View

Can tell me whether the ordinary differential equation admits periodic solution.

$$h''+ \sigma V^{-1}V_{\theta} h' + [(\lambda_1+ V_{\theta, \theta }) V^{-1}+ (\sigma^{-1}+1)k^2]h=0 $$ admits a solution where $h(0)= h(l)$ and $h'(0)= h'(l).$ Here V and k are periodic...

22 January 2013 3,093 2 View

Where the equation -laplacian u=u^p- u^q arises in physics with p> q>1?

Zero mass case - this is different than exponentially decaying equation.

07 September 2012 6,383 5 View