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Calculating the variation of a scalar field along the two parameter variation $\alpha(t; r, s) = \exp_{x(t)}(rV(t) + sW(t))$

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#riemannian-geometry #connections #variational-analysis
39
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homogeneity of an equation

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#partial-differential-equations #homogeneous-equation #variational-analysis
95
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Proof for equality of energy for heat equation.

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#functional-analysis #heat-equation #variational-analysis
58
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Weakly lower semicontinuity on weighted Sobolev space

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#functional-analysis #partial-differential-equations #sobolev-spaces #calculus-of-variations #variational-analysis
330
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Calculating the inverse of planar flows

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#statistical-inference #inverse-function #variational-analysis
131
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Functional derivative identity

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#functional-analysis #variational-analysis
51
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Coercive operator applied to difference is coercive

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#functional-analysis #variational-analysis
168
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Evaluating the Euler-Lagrange equation for a vector valued function

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#differential-geometry #calculus-of-variations #euler-lagrange-equation #variational-analysis
258
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Fast way to compute Fréchet/Gateaux Derivatives

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#functional-analysis #calculus-of-variations #frechet-derivative #variational-analysis #gateaux-derivative
130
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Functional that leads to hollow

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#functional-analysis #optimization #functional-equations #calculus-of-variations #variational-analysis
77
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Variational derivation of *all* covariant Maxwell's equations?

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#physics #differential-forms #electromagnetism #variational-analysis
111
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Fundamental lemma of calculus of variations

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#lebesgue-integral #calculus-of-variations #variational-analysis
83
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Closed form solution to operator norm minimization?

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#linear-algebra #optimization #linear-control #variational-analysis
114
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Weak form of cahn hilliard equation

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#partial-differential-equations #weak-derivatives #finite-element-method #variational-analysis
158
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The logic about the derivation for variational formulation

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#real-analysis #functional-analysis #partial-differential-equations #sobolev-spaces #variational-analysis

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