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- W2500930018 abstract "Abstract This chapter addresses the question of how regular the solutions constructed in previous chapters actually are. Section 8.1 considers the question of further regularity of the time derivative ut. Both in the case u = 0 and in the signed case, it is proved that ut is a locally integrable function. This allows the introduction in Section 8.2 of the more stringent concept of solution called strong solutions, i.e., weak solutions such that both ut and ΔΦ(u) are locally integrable functions. Strong solutions have nice calculus properties. Some of those properties are examined in detail. The concepts of super- and subsolutions are also discussed." @default.
- W2500930018 created "2016-08-23" @default.
- W2500930018 creator A5028901813 @default.
- W2500930018 date "2006-10-26" @default.
- W2500930018 modified "2023-10-16" @default.
- W2500930018 title "THE DIRICHLET PROBLEM III. STRONG SOLUTIONS" @default.
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