×

zbMATH — the first resource for mathematics

\(L^p\) bounds of solutions of reaction-diffusion equations. (English) Zbl 0421.35009

MSC:
35B40 Asymptotic behavior of solutions to PDEs
35K65 Degenerate parabolic equations
35B45 A priori estimates in context of PDEs
76R99 Diffusion and convection
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Alikakos, N. D. An application of the invariance principle to Reaction-Diffusion equations, J. D. E. (To appear) · Zbl 0386.34046
[2] Ball, J. Remarks on blow-up and nonexistence theorems for nonlinear evolution equations. (To appear) · Zbl 0377.35037
[3] Bebernes T.W., To appear in Ind. Univ. Math. J.
[4] Benillan P., The continuous dependence on of solutions of TSR# MRC
[5] Berryman, G. J., Holland, J.C. Stability of separable solution for fast diffusion. (To appear) · Zbl 0458.35046
[6] Brezis H., J. Math. Pures. Appl. (To appear)
[7] Chueh K.N., I.U.M.J. 26 (1977)
[8] Conway D.E., SIAM J.A.M. 33 (1977)
[9] Crandall M. G., To appear
[10] Evans L.C., Nonlinear Evolution Equations (1978)
[11] Friedman, A. ”Partial Differential Equations, Halt”. New York: Rinehart and Winston. · Zbl 0224.35002
[12] Fugita H., Aher. Math. Soc. 28 (1970)
[13] Gagliardo E., Ricerche Mat. 8 pp 24–
[14] Henry D., Monograph
[15] DOI: 10.1016/0022-247X(76)90114-1 · Zbl 0326.35044 · doi:10.1016/0022-247X(76)90114-1
[16] Kamenomostkaya S., I. J. of Math. 14 (1973)
[17] DOI: 10.1002/cpa.3160160307 · Zbl 0156.33503 · doi:10.1002/cpa.3160160307
[18] DOI: 10.1007/BF00263041 · Zbl 0278.35052 · doi:10.1007/BF00263041
[19] Martin R. H., Personal Communication.
[20] Maynard-Smith J., Models in Ecology (1974) · Zbl 0312.92001
[21] Oleinik O.A., Oderisi, Gubbio pp 355– (1964)
[22] Pao C.V., J.M.A.A. 46 pp 820– (1974)
[23] Pazy A., Semigroups and Applications to Partial Differential Equations (1974) · Zbl 0516.47023
[24] Sabinina E.S., Dok. Adad. Nauk, SSSR 136 pp 1034– (1961)
[25] Evans L.C., Nonlinear An. pp 593– (1977) · Zbl 0369.35034 · doi:10.1016/0362-546X(77)90020-7
[26] DOI: 10.1002/cpa.3160130308 · Zbl 0111.09301 · doi:10.1002/cpa.3160130308
[27] Glushko V.P., Pokl. Adad. Nauk. SSSR 122 pp 963– (1958)
[28] Levinson N., Arch. Rat. Mech. Anal 11 pp 258– (1962) · Zbl 0108.28902 · doi:10.1007/BF00253940
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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.