Crandall, Michael; Pierre, Michel Regularizing effects for \(u_ t\) + A phi(u) = 0 in \(L^ 1\). (English) Zbl 0483.35076 J. Funct. Anal. 45, 194-212 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 42 Documents MSC: 35R15 PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) 35B45 A priori estimates in context of PDEs 47H05 Monotone operators and generalizations 58D25 Equations in function spaces; evolution equations Keywords:m-accretive extension; strongly continuous nonexpansive semigroup PDFBibTeX XMLCite \textit{M. Crandall} and \textit{M. Pierre}, J. Funct. Anal. 45, 194--212 (1982; Zbl 0483.35076) Full Text: DOI References: [1] Aronson, D. G.; Bénilan, Ph, Régularité des solutions de l’équation des milieux poreux dans \(R^N\), C. R. Acad. Sci. Paris Ser. A-B, 288, 103-105 (1979) · Zbl 0397.35034 [2] Barbu, V., Nonlinear Semigroups and Differential Equations in Banach Spaces (1976), Noordhoff: Noordhoff Leyden [3] Bénilan, Ph; Brézis, H.; Crandall, M. G., A semilinear elliptic equation in \(L^1(R^N)\), Ann. Scuola Norm. Sup. Pisa Cl. Sci (4), 2, 523-555 (1975) · Zbl 0314.35077 [4] Ph. Bénilan and M. G. CrandallAmer. J. Math.; Ph. Bénilan and M. G. CrandallAmer. J. Math. [5] Brézis, H.; Strauss, W., Semilinear elliptic equations in \(L^1\), J. Math. Soc. Japan, 25, 15-26 (1973) [6] Crandall, M. G., An introduction to evolution governed by accretive operators, (Cesari, L.; Hale, J.; LaSalle, J., Dynamical Systems-An International Symposium (1976), Academic Press: Academic Press New York), 131-165 [7] Crandall, M. G.; Pazy, A.; Tartar, L., Remarks on generators of analytic semigroups, Israel J. Math., 32, 363-374 (1979) · Zbl 0436.47028 [8] M. G. Crandall and M. Pierre\(u_t Δϑ u\)Trans. Amer. Math. Soc.; M. G. Crandall and M. Pierre\(u_t Δϑ u\)Trans. Amer. Math. Soc. [9] Evans, L. C., Application of nonlinear semigroup theory to certain partial differential equations, (Crandall, M. G., Nonlinear Evolution Equations (1978), Academic Press: Academic Press New York) · Zbl 0471.35039 [10] Lê, C.-H, Étude de la classe des opérateurs \(m\)-accrétifs de \(L^1(Ω)\) et accrétifs dans \(L^∞(Ω), 3\) rd cycle thesis (1977), Paris VI This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.