INITIAL-BOUNDARY VALUE PROBLEM FOR A NONLINEAR HEAT EQUATION

Author:

NAKAO Mitsuhiro

Publisher

Faculty of Mathematics, Kyushu University

Subject

General Earth and Planetary Sciences,General Environmental Science

Reference14 articles.

1. On non-linear wave equations

2. [2] F. E. BROWDER, Nonlinear parabolic boundary value problem of arbitrary order., Bull. AMS 69 (1963), 858-861.

3. [3] J. C. CLEMENTS, Existence theorems for some non-linear equations of evolution., Can. J. Math., Vol. XXII, No. 4 (1970), 726-745.

4. [4] H. FUJITA S. WATANABE, On the uniqueness and non-uniqueness of solutions of initial value problems for some quasi-linear parabolic equation., Comm. Pure Apple. Math., Vol. XXI, (1968), 631-652.

5. [5] H. FUJITA, On the blowing up of solutions of the Cauchy problem for ut=Δu+u1+α., J. Fac. Sci. Univ. Tokyo Sect. I, Vol. 13, Part 2 (1966), 109-124.

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