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Weak solutions to parabolic equations - Continuous dependence of weak solution in time

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#partial-differential-equations #parabolic-pde
281
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Computing an inverse Fourier Transform / Solving the free particle Schrödinger equation with a gaussian wave packet as initial condition

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#real-analysis #fourier-transform #heat-equation #parabolic-pde
70
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Motivation to define the boundary value

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#partial-differential-equations #regularity-theory-of-pdes #parabolic-pde #linear-pde
103
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Existence of solution for the modified heat equation

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#partial-differential-equations #parabolic-pde
278
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Parabola touches the sides of a triangle tangents involved

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#tangent-line #parabolic-pde
371
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Regularity of Parabolic PDE's

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#partial-differential-equations #sobolev-spaces #parabolic-pde
459
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How to solve a PDE with time dependent domain?

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#partial-differential-equations #parabolic-pde #linear-pde
41
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Proving that $\sum_{n=1}^m h\lVert f_n \rVert_{L^2(\Omega)} \leq T^{1/2}\lVert f \rVert_{L^2(0,T;L^2(\Omega))}$

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#functional-analysis #discrete-mathematics #summation #parabolic-pde
669
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How to do laplace transform on time dependent domain?

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#partial-differential-equations #heat-equation #parabolic-pde #linear-pde
1.2k
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Heat equation energy estimates

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#partial-differential-equations #heat-equation #parabolic-pde #galerkin-methods
87
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Papers and Books about Numerical methods for nonlinear PDEs

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#reference-request #partial-differential-equations #numerical-methods #book-recommendation #parabolic-pde
99
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Parabolic (heat) PDE Green's function spatial asymptote at infinity

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#partial-differential-equations #asymptotics #greens-function #parabolic-pde
87
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Does accuracy of the numerical solution of a PDE depend on the scaling of the variables?

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#numerical-methods #heat-equation #parabolic-pde
123
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Critical spaces in Navier-Stokes theory of well posedness

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#partial-differential-equations #regularity-theory-of-pdes #parabolic-pde #linear-pde
91
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Dirichlet Problem for Quasi-linear Parabolic Equation that Degenerates at Endpoints

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#partial-differential-equations #parabolic-pde #mean-curvature-flows

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