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First eigenvalue of laplacian on a cylinder

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#partial-differential-equations #eigenvalues-eigenvectors #riemannian-geometry #laplacian #elliptic-operators
406
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Minimization approach to p-Laplace equation

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#calculus #multivariable-calculus #partial-differential-equations #numerical-methods #p-laplacian
1k
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Write the functional derivative of the Dirichlet energy

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#functional-analysis #derivatives #partial-differential-equations #vector-analysis
157
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Find the semigroup of $Au=-u'$ on the space $C([0,1])$.

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#functional-analysis #partial-differential-equations #semigroup-of-operators
320
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Extension of Burgers' equation

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#partial-differential-equations #fluid-dynamics #nonlinear-dynamics
156
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Characteristic curves of operators (example)

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#ordinary-differential-equations #partial-differential-equations #differential-operators
186
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Determine the shock regions of quasi-linear equation

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#partial-differential-equations #characteristics #hyperbolic-equations
70
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Differential equation with the boundary conditions

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#partial-differential-equations
107
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Generalizing the eigenvalues of the Laplacian on $\Omega$ an interval to $\Omega$ an arc on a circle?

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#differential-geometry #partial-differential-equations #manifolds #riemannian-geometry
56
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Are there non-negative functions $f$ satisfying $(-\Delta)^{-1}f \leq f$?

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#functional-analysis #partial-differential-equations #sobolev-spaces
110
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Boundedness in $H^1(\Omega) $ and tightness

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#functional-analysis #analysis #measure-theory #partial-differential-equations #lp-spaces
234
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Poincaré inequality in application of Lax-Milgram

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#functional-analysis #partial-differential-equations
491
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Solving a simple Shallow Water model

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#partial-differential-equations #fluid-dynamics #hyperbolic-equations
27
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Mass estimated in partial differential equation.

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#partial-differential-equations
146
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Proof of the interpolation inequality

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#functional-analysis #inequality #partial-differential-equations #lebesgue-integral #sobolev-spaces

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