Blow-up of solutions of semilinear Euler-Poisson-Darboux equations with nonlocal boundary conditions
In: Applied mathematics and computation, Jg. 99 (1999), Heft 1, S. 17-28
Online
academicJournal
- print, 7 ref
This article studies the hyperbolic initial nonlocal boundary-value problem, uu + (k/t)ut - uxx = f(u), 0 < x < a, t > 0, u(x,0) = u0(x), ut(x, 0) = 0, 0 < x < a, u(0,t) = ∫0aM(y) | u(y. t) |pdy, t > 0, u(a. t) = ∫0aN(y) | u(y,t) |q dy, t > 0, where k is a real number, p and q are nonnegative constants, and f, u0, M and N are given functions. Criteria for u to blow up in finite time are given.
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Blow-up of solutions of semilinear Euler-Poisson-Darboux equations with nonlocal boundary conditions
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Autor/in / Beteiligte Person: | CHAN, C. Y ; ZHU, J. K |
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Zeitschrift: | Applied mathematics and computation, Jg. 99 (1999), Heft 1, S. 17-28 |
Veröffentlichung: | New York, NY: Elsevier, 1999 |
Medientyp: | academicJournal |
Umfang: | print, 7 ref |
ISSN: | 0096-3003 (print) |
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