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Time Discretisation of a System of PDEs

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#partial-differential-equations #parabolic-pde #eulers-method #discrete-time
44
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A non-separable heat-convection differential equation with 1 space-variable

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#partial-differential-equations #parabolic-pde
43
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Positiveness of weak solutions of a parabolic PDE

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#real-analysis #functional-analysis #partial-differential-equations #weak-derivatives #parabolic-pde
54
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How to prove the comparison principle of this parabolic partial differential equation?

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#partial-differential-equations #maximum-principle #parabolic-pde
45
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Well-posedness of linear parabolic PDE

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#partial-differential-equations #parabolic-pde
98
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Heat equation with sharp inhomogenous Dirichlet conditions

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#sobolev-spaces #regularity-theory-of-pdes #parabolic-pde
57
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De Giorgi-Nash-Moser estimattes for non-symmetric a_ij

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#regularity-theory-of-pdes #parabolic-pde
40
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What is $W_2^{1,1/2}(Q_T)$?

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#functional-analysis #partial-differential-equations #parabolic-pde
23
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Linear fourth-order parabolic equations

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#partial-differential-equations #reference-request #parabolic-pde
38
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Tricky confusion with the definition of a weak solution for the linear parabolic equations

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#partial-differential-equations #regularity-theory-of-pdes #parabolic-pde
72
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Exponential decay for a smooth solution to a parabolic PDE

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#partial-differential-equations #parabolic-pde
79
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Reference to a Theorem (or book) about parabolic PDEs

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#partial-differential-equations #reference-request #linear-pde #parabolic-pde
96
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Strong Maximum Principle for the heat Equation - Evans - Theorem 4 - Why do we need U to be bounded.

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#partial-differential-equations #parabolic-pde
44
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numerically compute eigenfunctions of $a(u,v)=\langle f(\nabla u)\nabla u,\nabla v\rangle_{L^2}$

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#partial-differential-equations #reference-request #numerical-methods #numerical-calculus #parabolic-pde
66
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The exact, formal definition of a prabolic problem/equation

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#analysis #partial-differential-equations #definition #nonlinear-system #parabolic-pde

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