Under some natural hypothesis on the matrix P"(p GH ) that guarrantee the blow-up of the solution at time ΒΉ, and some assumptions of the initial data u G , we find that if "" x """1 then u G (x , t)goestoinfinitylike(ΒΉ!t) G /2 , where the G (0 are the solutions of (P!Id) ( , )R"(!1, !1)R. As a corol
Uniqueness and non-uniqueness for a system of heat equations with nonlinear coupling at the boundary
β Scribed by Carmen Cortazar; Manuel Elgueta; Julio D. Rossi
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 91 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0362-546X
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