THE HOLDER CONTINUITY OF GENERALIZED SOLUTIONS OF A CLASS QUASI-LINEAR PARABOLIC EQUATIONS

Authors
WANG XD LIANG XT
Citation
Xd. Wang et Xt. Liang, THE HOLDER CONTINUITY OF GENERALIZED SOLUTIONS OF A CLASS QUASI-LINEAR PARABOLIC EQUATIONS, Applied mathematics and mechanics, 19(6), 1998, pp. 573-583
Citations number
3
Categorie Soggetti
Mathematics,Mathematics,Mechanics
Journal title
Applied mathematics and mechanics → ACNP
ISSN journal
02534827
Volume
19
Issue
6
Year of publication
1998
Pages
573 - 583
Database
ISI
SICI code
0253-4827(1998)19:6<573:THCOGS>2.0.ZU;2-A
Abstract
Let A and B satisfy the structural conditions (2), the local Holder co ntinuity interior to Q = G X (0, T) is proved for the generalized solu tions of quasilinear parabolic equations as follows: u(t) - divA(x, t, u, del u) + B(x, t, U, del u) = 0.