Answer by Denis Serre for Physical relevancy of two curious PDE's
Sorry to bring bad news. Usually, physicists are interested in the Cauchy problem: given initial data, determine the evolution of the state.Alas, it is well known that PDE's whose order in the time...
View ArticlePhysical relevancy of two curious PDE's
My research has brought me to the following linear parabolic second order PDE:$$ \frac{\partial^2}{\partial x^2}\Psi(t,x)=c(t,x)\frac{\partial}{\partial t}\Psi(t,x) $$for $c(t,x)=-\frac{t}{x}$ and...
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