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Observability Inequality from the Carleman's Inequality

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#inequality #partial-differential-equations #parabolic-pde
169
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Maximum principles (weak, strong) for semi-linear parabolic equations?

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#partial-differential-equations #parabolic-pde
58
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weak solution to non-homogeneous initial-boundary value problem

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#reference-request #sobolev-spaces #parabolic-pde
47
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„Parabolic estimates“: existence of limits

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#partial-differential-equations #parabolic-pde
348
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Convergence of weak solution for second order parabolic equation (Evans)

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#partial-differential-equations #weak-convergence #parabolic-pde
52
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Cylindrical coordinates in axis symmetric flow

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#real-analysis #analysis #partial-differential-equations #cylindrical-coordinates #parabolic-pde
374
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Fourier transform of pde $u_t+\Delta^2 u=0$, $u(x,0)=u_0$

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#partial-differential-equations #fourier-transform #heat-equation #parabolic-pde
113
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Intuition for regularity of solution of this hypoelliptic PDE

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#partial-differential-equations #regularity-theory-of-pdes #elliptic-equations #parabolic-pde
37
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Question on Parabolic PDEs: Improvement of the bound ${\vert \vert v(\cdot,t)-v_0(\cdot) \vert \vert}_{L^p}\le \hat C t^{1/q}$

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#functional-analysis #partial-differential-equations #maximum-principle #parabolic-pde
556
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Amplification factor of Crank Nicolson scheme in cylindrical coordinates

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#partial-differential-equations #numerical-methods #finite-differences #parabolic-pde #finite-difference-methods
281
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Regularity of parabolic PDEs for large $\lambda$

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#reference-request #partial-differential-equations #sobolev-spaces #regularity-theory-of-pdes #parabolic-pde
1.6k
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Error in Crank-Nicolson scheme for diffusion equation

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#partial-differential-equations #numerical-methods #finite-differences #parabolic-pde #finite-difference-methods
1.1k
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Tangents to parabola $y^2=-4(x-1)$ with slopes in a certain range determine chords, bisected by $x=1$, of a circle. Find the equation of the circle.

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#circles #coordinate-systems #tangent-line #parabolic-pde
78
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Similarity solutions and similarity variables for heat equation

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#partial-differential-equations #heat-equation #parabolic-pde
114
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Error bound for a PDE with a perturbation term

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#real-analysis #partial-differential-equations #perturbation-theory #linear-pde #parabolic-pde

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