Partial differential equations - Open Access .click

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1995
Introduction The modelling of Chapter 3 culminates in the formulation of the pricing problem for a derivative product as a partial differential equation. We now take a break from the financial modelling to discuss, in this and the next chapter, some of the theory behind such differential equations.
Jeff Dewynne, Sam Howison, Paul Wilmott
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Partial Differential Equations II

2002
Partial differential equations of the form $$k{\partial \over {\partial t}}u(r,t) = \nabla ^2 u(r,t)$$ (diffusion equation) and $${{\partial ^2 } \over {\partial t^2 }}u(r,t) = c^2 \nabla ^2 u(r,t)$$ (wave equation) are amenable to the use of the Laplace transform.1 Indeed, on taking the Laplace transform of the former, we get ...
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Differential games with partial differential equations

1975
Examples of differential games are given, where the state equation is a partial differential equation. They can be solved explicitly and show clearly how the values of the control functions enter in the solution. This enables us to set up a method of solving these games, which should also be applied to more complicated differential games, complementing
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Partial Differential Equations