PageHeader : $\mathrm{F}/\mathrm{I}\mathrm{n}\mathrm{k}\mathrm{c}\mathrm{i}.\mathrm{d}$ laj Ekvacioj, 3 (1960), 1?50
Title : Semi-Linear Partial Differential Equations
Title : of Parabolic Type
AuthorInfo : By Haruo MURAKAMI
AuthorInfo : (K?be University)
section : Introdution
section : Chapter I Preliminaries
subsection : ��1. Notations and preliminary remarks
subsection : ��2. Generalized parabolic differential operator
subsection : ��3. Elementary solutions and Poisson's formula
section : Chapter II Comparison theorems and uniqueness conditions
subsection : ��4. Comparison theorems
subsection : ��5. Uniqueness conditions
section : Chapter III Estimations of $u(t,x)$ and of $u(t,x)$
subsection : ��6. Estimation of $u(t,x)$
subsection : ��7. Preparation for the estimation of $\partial_{x}u(t, x)$
subsection : ��8. Remarks on the equation $\mathscr{P}u=f(t, x)$
subsection : ��9. Estimation of the derivatives $\partial_{x}u(t, x)$
section : Chapter IV Existence theorems
subsection : ��10. The case where $f(t,x,u,p)$ is bounded
subsection : ��11. Existence theorem for regular boundary condition
subsection : �� 12. Existence theorem for the general case
section : References