We consider in this paper blow-up solutions of the semilinear wave equation in one space dimension, with an exponential source term. Assuming that initial data are in H1 loc × L2 loc or sometimes in W1,∞ × L∞, we derive the blow-up rate near a non-characteristic point in the smaller space, and give some bounds near other points. Our results generalize those proved by Godin under high regularity assumptions on initial data.
|Original language||English (US)|
|Title of host publication||Partial Differential Equations Arising from Physics and Geometry|
|Subtitle of host publication||A Volume in Memory of Abbas Bahri|
|Publisher||Cambridge University Press|
|Number of pages||32|
|State||Published - Jan 1 2019|
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