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Partial differential equations (PDEs): Existence and uniqueness, regularity, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDEs, conservation laws, qualitative dynamics.

7 votes

Forcing the uniqueness of a solution of an ODE

This question would be possibly at a better place on MathStack Exchange. Yet, once the statement of the question is corrected (the functions $y_n$ need to be defined on $\mathbb{R_+}$ and not only on …
Christophe Leuridan's user avatar
4 votes
Accepted

Asking for reference about a relation related to Fourier transform

If $f_1,\ldots,f_n$ belong to the Schwarz space, Fourier inversion formula and Fourier-convolution properties yield \begin{eqnarray*} \int_{\xi_1+\cdots+\xi_n=0} \hat{f_1}(\xi_1) \cdots \hat{f_n}(\xi_ …
Christophe Leuridan's user avatar