C-infinity interfaces of solutions for one-dimensional parabolic p-Laplacian equations
We study the regularity of a moving interface $x = zeta (t)$ of the solutions for the initial value problem $$ u_t = left(|u_x|^{p-2}u_x ight)_x quad u(x,0) =u_0 (x),, $$ where $u_0in L^1({Bbb R})$ and $p>2$. We prove that each side of the moving interface is $C^{infty}$.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
1999-01-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/1999/01/abstr.html |