Source-type solutions of degenerate diffusion equations with absorption

S. Kamin; L. A. Peletier

doi:10.1007/BF02761403

Source-type solutions of degenerate diffusion equations with absorption

S. Kamin^*, L. A. Peletier

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

The object of this paper is to study the existence of a solution of the Cauchy problem u_t=Δu^m-u^p, u(x,0)=δ(x) and when a solution exists, to study its behaviour as t→0.

Original language	English
Pages (from-to)	219-230
Number of pages	12
Journal	Israel Journal of Mathematics
Volume	50
Issue number	3
DOIs	https://doi.org/10.1007/BF02761403
State	Published - Sep 1985

Access to Document

10.1007/BF02761403

Cite this

@article{3c93c0cc19be42868702ef9d4242824c,

title = "Source-type solutions of degenerate diffusion equations with absorption",

abstract = "The object of this paper is to study the existence of a solution of the Cauchy problem u t=Δum-up, u(x,0)=δ(x) and when a solution exists, to study its behaviour as t→0.",

author = "S. Kamin and Peletier, {L. A.}",

year = "1985",

month = sep,

doi = "10.1007/BF02761403",

language = "אנגלית",

volume = "50",

pages = "219--230",

journal = "Israel Journal of Mathematics",

issn = "0021-2172",

publisher = "Springer New York",

number = "3",

}

TY - JOUR

T1 - Source-type solutions of degenerate diffusion equations with absorption

AU - Kamin, S.

AU - Peletier, L. A.

PY - 1985/9

Y1 - 1985/9

N2 - The object of this paper is to study the existence of a solution of the Cauchy problem u t=Δum-up, u(x,0)=δ(x) and when a solution exists, to study its behaviour as t→0.

AB - The object of this paper is to study the existence of a solution of the Cauchy problem u t=Δum-up, u(x,0)=δ(x) and when a solution exists, to study its behaviour as t→0.

UR - http://www.scopus.com/inward/record.url?scp=51249178216&partnerID=8YFLogxK

U2 - 10.1007/BF02761403

DO - 10.1007/BF02761403

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:51249178216

SN - 0021-2172

VL - 50

SP - 219

EP - 230

JO - Israel Journal of Mathematics

JF - Israel Journal of Mathematics

IS - 3

ER -

Source-type solutions of degenerate diffusion equations with absorption

Abstract

Access to Document

Other files and links

Fingerprint

Cite this