Differential forms in infinite-dimensional spaces and their use in kinetic equations
β Scribed by V. V. Vedenyapin
- Publisher
- Springer US
- Year
- 1985
- Tongue
- English
- Weight
- 239 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0016-2663
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π SIMILAR VOLUMES
General homotopy continuation and bifurcation results are proved for a class of semiflows. These results are applied to ordinary differential equations and to systems of reaction-diffusion equations.
Jacobi approximations in certain Hilbert spaces are investigated. Several weighted inverse inequalities and Poincare inequalities are obtained. Some approximation Εesults are given. Singular differential equations are approximated by using Jacobi polynomials. This method keeps the spectral accuracy.
We consider the Fourier first initial-boundary value problem for a weakly coupled infinite system of semilinear parabolic differential-functional equations of reaction-diffusion type in arbitrary (bounded or unbounded) domain. The right-hand sides of the system are functionals of unknown functions o