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Results tagged with ap.analysis-of-pdes
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user 507364
Partial differential equations (PDEs): Existence and uniqueness, regularity, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDEs, conservation laws, qualitative dynamics.
4
votes
On a non-linear PDE $p_t = e^{-p}p_{xx}$
Maybe a possibility would be to first get rid of the non-linearity by defining $\phi[\tilde{p}]$ to be the solution of :
$$
\begin{cases}
p_t = e^{-\tilde{p}}p_{xx}, & (t,x)\in (0,T)\times (0,1),\\
p( …
- 141