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Exact Solution form Fundamental Solution PDE
derivatives
partial-differential-equations
initial-value-problems
parabolic-pde
fundamental-solution
$u\in C_0^3(\Omega)$ satisfis $ -\Delta u=f(x), x\in\Omega. $Prove that $ \sum_{i,j=1}^{n}\int_\Omega u^2_{x_i x_j} dx\leq n\int_{\Omega}f^2 dx. $
partial-differential-equations
laplacian
parabolic-pde
potential-theory
Maximum principle question for heat equation problem
partial-differential-equations
heat-equation
maximum-principle
parabolic-pde
Asymptotic behavior of European options [closed]
partial-differential-equations
numerical-methods
finance
parabolic-pde
Solving a parabolic PDE numerically with the spectral method
partial-differential-equations
numerical-methods
fourier-analysis
heat-equation
parabolic-pde
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