Timeline for persistence of regularity for nonlinear Klein-Gordon equation
Current License: CC BY-SA 3.0
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| Apr 2, 2015 at 12:33 | history | edited | Inquisitive | CC BY-SA 3.0 |
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| Apr 2, 2015 at 12:32 | comment | added | Inquisitive | @WillieWong; Thanks a lot: Please see the edited question, after following your comments. Please tell something for that.; Thanks a lot | |
| Apr 2, 2015 at 12:24 | history | edited | Inquisitive | CC BY-SA 3.0 |
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| Apr 2, 2015 at 8:57 | comment | added | Willie Wong | The modulation spaces are all subsets of tempered distributions. So all you really need to check is that the norm $\|u(t)\|_{L^\infty_t M^s_{p_1,1}}$ is bounded. You basically just apply Lemma 31 with $p = p_1$, and note that $\|u\|_{M_{\infty,1}^s} \lesssim \|u\|_{M_{p_2,1}^s}$ by your embedding lemma. | |
| Apr 2, 2015 at 7:33 | history | asked | Inquisitive | CC BY-SA 3.0 |