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Results tagged with ap.analysis-of-pdes
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user 115325
Partial differential equations (PDEs): Existence and uniqueness, regularity, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDEs, conservation laws, qualitative dynamics.
2
votes
0
answers
82
views
Identification of a PDE
I cannot find the following equation
$$u_t=u^2u_{xx}$$
anywhere in the literature. Could someone please point me in the direction of what's been published on this?
- 243
4
votes
0
answers
130
views
Generalizing Kato-Seiler-Simon-type inequalities to diamagnetic operators
I recently learned about estimates one can perform with operators on $L^2(\mathbb{R}^n)$ given as $f(x)g(-i\nabla)$, see Chapter 4 in Trace Ideals and their Applications by Professor Barry Simon (the …
- 243