Timeline for Why can't there be a general theory of nonlinear PDE?
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| Jan 11, 2012 at 11:28 | comment | added | Liviu Nicolaescu | Of course, the study of PDEs is not everything, but the point of Heisenberg's quote (and he was referring specifically to nonlinear pde-s) is within the pde Universe, the statement that something is nonlinear carries zero information. PS The study of polynomials can be viewed as a subclass of the study of PDE's (think characteristic polynomials of constant coefficients o.d.e.'s) More generally the theory of D-modules suggests that substantial chunk of algebraic geometry is closely connected to PDE's. | |
| Jan 11, 2012 at 8:37 | comment | added | Deane Yang | But why is the study of PDE's "everything"? In comparison to, say, the study of polynomials? | |
| Jan 10, 2012 at 20:37 | history | answered | Liviu Nicolaescu | CC BY-SA 3.0 |