On the First Boundary Value Problem for Quasilinear Parabolic Equations with Two Independent Variables
In: Archive for Rational Mechanics and Analysis, Jg. 152 (2000-05-01), Heft 1, S. 81-92
Online
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Zugriff:
This paper is concerned with the global solvability of the first initial boundary value problem for the quasilinear parabolic equations with two independent variables: a(t, x, u, ux)uxx- ut= f(t, x, u, ux). We investigate the case when the growth of $$\frac{{\left| {f(t,x,u,p)} \right|}}{{a(t,x,u,p)}}$$with respect to pis faster than p2when |p| → ∞. Conditions which guarantee the global classical solvability of the problem are formulated.
Titel: |
On the First Boundary Value Problem for Quasilinear Parabolic Equations with Two Independent Variables
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Autor/in / Beteiligte Person: | Tersenov, Alkis |
Link: | |
Zeitschrift: | Archive for Rational Mechanics and Analysis, Jg. 152 (2000-05-01), Heft 1, S. 81-92 |
Veröffentlichung: | 2000 |
Medientyp: | serialPeriodical |
ISSN: | 0003-9527 (print) ; 1432-0673 (print) |
DOI: | 10.1007/s002050000074 |
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