Timeline for A Cauchy problem for an iterated Euler-Poisson-Darboux equation
Current License: CC BY-SA 4.0
8 events
when toggle format | what | by | license | comment | |
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Mar 25, 2022 at 9:22 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
http -> https (the question was bumped anyway)
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Oct 23, 2012 at 9:03 | history | edited | Igor Khavkine | CC BY-SA 3.0 |
added 1347 characters in body
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Oct 23, 2012 at 8:30 | comment | added | MAK | yes, as you said | |
Oct 23, 2012 at 8:25 | comment | added | Igor Khavkine | Ah, I see now. The $D^i u(0,x)$ should have been $D^i_t u(0,x)$ in your question. | |
Oct 23, 2012 at 8:21 | comment | added | MAK | for the sake of brevity, let me take $u_0(x)=x^n$, $n$ is a positive integer, and $u_1(x)=u_2(x)=u_3(x)=0$. | |
Oct 23, 2012 at 7:27 | comment | added | Igor Khavkine | To be honest, I'm not sure I understand your initial onditions. How are you specifying the values of the 0th-3rd time derivatives at $t=0$ needed to fix a unique solution? | |
Oct 23, 2012 at 6:53 | comment | added | MAK | @Igor, thank you very much. Indeed, it is easy to solve the non-homogeneous iterated equation. But, how shoold we choose the initial condition for $L_m u=v$ such that the solution of (auxiliary) second order EDP satisfies both the iterated EDP and the four initial conditions? | |
Oct 22, 2012 at 22:47 | history | answered | Igor Khavkine | CC BY-SA 3.0 |