Timeline for Generalized Fuchsian-type PDE
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Mar 6 at 15:35 | comment | added | Igor Khavkine | The argument from this answer would imply that this exact $A(x=e^y,t)$ solution cannot have a distributional Fourier transform in $y$ (unless I made a mistake). I don't know the properties of hypergeometric functions well-enough to immediately see why, but perhaps you can identify a reason. This might give a clue as to what function space to expect a solution in (if any). | |
| Mar 6 at 15:29 | history | edited | Igor Khavkine | CC BY-SA 4.0 |
added 7 characters in body
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| Mar 6 at 12:54 | comment | added | Math2024 | Sorry, there was a typo: I meant $$ A(x,t)=\;{_0F_3}\left(~;{{4\over 3}, {5\over 3},2}; -{x^3 t\over 27}\right). $$ (i.e. no overall factor x^2 t) I also fixed this typo in the post. One can verify that this is an exact solution with $A(x, 0)=1$. | |
| Mar 6 at 12:15 | history | answered | Igor Khavkine | CC BY-SA 4.0 |