Lp theory and partial Hölder continuity for quasilinear parabolic systems of higher order with strictly controlled growth

1985 ◽  
Vol 139 (1) ◽  
pp. 107-145 ◽  
Author(s):  
Mario Marino ◽  
Antonino Maugeri
Keyword(s):  
Hölder Continuity ◽  
Parabolic Systems ◽  
Higher Order ◽  
Controlled Growth ◽  
Holder Continuity ◽  
Quasilinear Parabolic Systems ◽  
Lp Theory ◽  
Quasilinear Parabolic

Regularity of weak solutions to linear and quasilinear parabolic systems of non-divergence type with non-smooth in time principal matrix: A(t)-caloric method

2017 ◽  
Vol 29 (5) ◽  
pp. 1039-1064 ◽  
Author(s):  
Arina A. Arkhipova ◽  
Jana Stará
Keyword(s):  
Approximation Method ◽  
Weak Solutions ◽  
Parabolic Systems ◽  
John 1 ◽  
Quasilinear Parabolic Systems ◽  
Regularity Of Weak Solutions ◽  
Divergence Type ◽  
Quasilinear Parabolic

AbstractWe prove a modification of the so-called A(t)-caloric lemma stated in our earlier work with O. John [1] to study regularity of weak solutions to parabolic systems of non-divergence type with non-smooth in time principal matrices. As an application, we prove smoothness results in Morrey and Campanato spaces for linear parabolic systems of non-divergence type by the A(t)-caloric approximation method.

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