scholarly journals Maximal regularity with temporal weights for parabolic problems with inhomogeneous boundary conditions

2012 ◽  
Vol 285 (8-9) ◽  
pp. 1032-1051 ◽  
Author(s):  
Martin Meyries ◽  
Roland Schnaubelt
Keyword(s):  
Boundary Conditions ◽  
Maximal Regularity ◽  
Parabolic Problems

scholarly journals Strong maximum principles for fractional elliptic and parabolic problems with mixed boundary conditions

2019 ◽  
Vol 150 (1) ◽  
pp. 475-495 ◽  
Author(s):  
Begoña Barrios ◽  
Maria Medina
Keyword(s):  
Boundary Conditions ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Classical Case ◽  
Parabolic Problems ◽  
Laplacian Operator ◽  
Maximum Principles ◽  
Local Version ◽  
Comparison Results ◽  
Non Local

AbstractWe present some comparison results for solutions to certain non-local elliptic and parabolic problems that involve the fractional Laplacian operator and mixed boundary conditions, given by a zero Dirichlet datum on part of the complementary of the domain and zero Neumann data on the rest. These results represent a non-local generalization of a Hopf's lemma for elliptic and parabolic problems with mixed conditions. In particular we prove the non-local version of the results obtained by Dávila and Dávila and Dupaigne for the classical cases= 1 in [23, 24] respectively.

scholarly journals Parabolic Problems with Nonlinear Boundary Conditions and Critical Nonlinearities

1999 ◽  
Vol 156 (2) ◽  
pp. 376-406 ◽  
Author(s):  
José M Arrieta ◽  
Alexandre N Carvalho ◽  
Anibal Rodrı́guez-Bernal
Keyword(s):  
Boundary Conditions ◽  
Nonlinear Boundary ◽  
Nonlinear Boundary Conditions ◽  
Parabolic Problems ◽  
Critical Nonlinearities
Sign in / Sign up

Export Citation Format

Share Document