Local weak solutions to fully anisotropic widely degenerate parabolic PDEs with measurable (x,t)-dependent coefficients are bounded if in a non-homogeneous De Giorgi class and possess semicontinuous representatives under suitable assumptions on the exponents p_i.
Lions,Quelques méthodes de résolution des problèmes aux limites non linéaires, Gauthier-Villars, Paris
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Widely degenerate anisotropic diffusion: local boundedness and semicontinuity
Local weak solutions to fully anisotropic widely degenerate parabolic PDEs with measurable (x,t)-dependent coefficients are bounded if in a non-homogeneous De Giorgi class and possess semicontinuous representatives under suitable assumptions on the exponents p_i.