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A new class of asymptotic “eigenfunctions” for Cauchy's problem for a non-linear parabolic equation

✍ Scribed by V.A. Galaktionov; S.P. Kurdyumov; A.A. Samarskii


Publisher
Elsevier Science
Year
1985
Weight
304 KB
Volume
25
Category
Article
ISSN
0041-5553

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A Noncharacteristic Cauchy Problem for L
✍ Dinh Nho Haò 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 944 KB

Noncharacteristic Cauchy problems for parabolic equations are frequently encountered in many areas of heat transfer. These problems are well known to be severely ill-posed. In this paper a solvability criterion for a class of such problems is established. It is proved that a weak solution of a nonch