Uniqueness of solutions for systems of separated variable coefficient partial differential equations
✍ Scribed by L. Jódar; D. Goberna
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 215 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper, the uniqueness of solutions for systems of the type w~ = K(z, t)w=z, 0 < x < p, t > 0, subject to w(0, t) = ~(p, t) and w(z, O) = F(z) is studied. Here w and F are vectors and K(z, t) = P(x)Q(t), where P(z) and Q(t) are square real matrices satisfying some additional properties.
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Using the theory of generalized functions and the theory of Fourier transforms in several complex variables, previous authors developed a nonconstructive, integral representation for power series solutions to a given system of linear, constant coefficient partial differential equations (PDEs). For a