POINTWISE BOUNDS FOR SOLUTIONS OF THE SECOND INITIAL-BOUNDARY VALUE PROBLEM FOR PARABOLIC EQUATIONS.
JOHNS HOPKINS UNIV SILVER SPRING MD APPLIED PHYSICS LAB
Pagination or Media Count:
An extension is given of the method to obtain pointwise bounds for the solutions of the first initial-boundary value problem for a semilinear parabolic equation. A method is given for obtaining interior pointwise bounds for solutions of the second initial-boundary value problem. The bounds obtained are in terms of L2 integrals of the initial-boundary data thus close bounds may be obtained, in the linear case, by applying the Rayleigh-Ritz Technique. The approximating functions used in the procedure need not satisfy either the differential equation or the initial-boundary data but only certain regularity conditions. Author
- Theoretical Mathematics