Criteria for the regularity of continuous and locally integrable solutions of a class of linear functional equations
✍ Scribed by Halina Światak
- Publisher
- Springer
- Year
- 1971
- Tongue
- English
- Weight
- 555 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0001-9054
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
A functional analysis method is used to prove the existence and the uniqueness of solutions of a class of linear and nonlinear functional equations in the Hilbert Ž . Ž . space H ⌬ and the Banach space H ⌬ . In the case of the nonlinear functional 2 1 equation, a bound of the solution is also given.
This paper is devoted to the study of properties of a class of solutions (u; u) ∈ W 1;q 2;p ( ; ; ) × L q ( ) of functional-di erential system of fourth order. By using suitable test functions, it is possible to organize Moser's method to prove boundedness and H older continuity of solutions u(x) of