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Absence of singularities on a Gaussian beam for the diffusion equation

✍ Scribed by V. M. Babich


Book ID
105069491
Publisher
Springer US
Year
1992
Tongue
English
Weight
217 KB
Volume
62
Category
Article
ISSN
1573-8795

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On the Singular Problem for the Scalar P
✍ C. Rocha πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 626 KB

We consider the scalar parabolic equation \(u_{t}=\varepsilon^{2}\left(a^{2}(x) u_{x}\right)_{x}+f(u), 0<x<1\), satisfying Neumann boundary conditions and appropriate conditions on the nonlinearity \(f\). The attractor \(A_{\varepsilon}\) for the dynamical system generated by this equation has been