A Mollification Method for a Noncharacteristic Cauchy Problem for a Parabolic Equation
✍ Scribed by Dinh Nho Hào
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 390 KB
- Volume
- 199
- Category
- Article
- ISSN
- 0022-247X
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✦ Synopsis
In this paper the noncharacteristic Cauchy problem NCP u y a x u y b x u y c x u s 0,
x g 0, l , t g ,ޒ
📜 SIMILAR VOLUMES
The present paper is concerned with the global solvability of the Cauchy problem for the quasilinear parabolic equations with two independent variables: Ž . Ž . u s a t, x, u, u u q f t, x, u, u . We investigate the case of the arbitrary order < < of growth of the function f t, x, u, p with respect
A convergence proof is given for an abstract parabolic equation using general space decomposition techniques. The space decomposition technique may be a domain decomposition method, a multilevel method, or a multigrid method. It is shown that if the Euler or Crank-Nicolson scheme is used for the par
## Abstract The non‐characteristic Cauchy problem for the heat equation __u__~__xx__~(__x__,__t__) = __u__~1~(__x__,__t__), 0 ⩽ __x__ ⩽ 1, − ∞ < __t__ < ∞, __u__(0,__t__) = φ(__t__), __u__~__x__~(0, __t__) = ψ(__t__), − ∞ < __t__ < ∞ is regularizèd when approximate expressions for φ and ψ are given