Solve the following PDE $$u_t=u_xx+δ(x)δ(t)$$ BC s: $$\lim_{|x|\to \infty}u(x,t)=0$$ IC s: $$u(x,0)= δ(x).$$ solve pde with fourier tranform
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What is the meaning of $lim┬(|x|→∞)u(x,t)=0$? – Yiorgos S. Smyrlis Dec 21 '13 at 13:13
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Are you looking for a solution $u\in{\mathscr D}'(\mathbb R^2)$? – Yiorgos S. Smyrlis Dec 21 '13 at 13:14
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@maha: I can see you have posted different kinds of problems. So, are these problems coming from different courses? By the way, do you consider accepting courses? – Mhenni Benghorbal Dec 21 '13 at 14:09
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Have you heard of 'method of characteristics'? – Chinny84 Dec 21 '13 at 23:08