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Results tagged with linear-pde
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user 13268
Questions about linear partial differential equations. Often used in combination with the top-level tag ap.analysis-of-pdes.
2
votes
Existence of a global analytic solution to a linear first order PDE
If the holomorphic vector field $X=\sum_i f_i\partial_{z_i}$ has no zeroes and there is a complex hypersurface nowhere tangent to it, and each point lies on a unique trajectory of that vector field th …
- 26.3k
6
votes
Textbooks for PDE between Strauss and Folland
I like Jeffrey Rauch's book Partial Differential Equations. Fritz John's book is also very good.
17
votes
Accepted
Classification of PDE
PDE books often discuss classification, but they always restrict attention to the case of second order equations, especially for one function of several variables, with good reason. The point of a cla …
- 26.3k
3
votes
Reconstructing the metric on $CP^2$ with special one forms
My calculation has the exterior derivative of the left hand side being
$$\frac{(1+|z_2|^2)d\bar{z}_1\wedge dz_1 + (1+|z_1|^2)d\bar{z}_2\wedge dz_2 - z_1\bar{z}_2 d\bar{z}_1 \wedge dz_2 -z_2\bar{z}_1 d …
- 26.3k