Revision #581 → #1347 · back to history
addedLaplace's equationc58cf5001579
addedPoisson's equation0a397387088c
addedHarmonic functions1aa8bd4c426e
addedLaplace's equation in rectangular coordinates5857e6729240
addedLaplace's equation in cylindrical coordinates1e8ff11a6f89
addedLaplace's equation in spherical coordinates477bbe4c99cf
addedLaplace's equation in curvilinear coordinates1b5e07964495
addedDirichlet problem086550c163a4
addedNeumann boundary conditions5a1c94a7ccd4
addedPrinciple of superposition5a09b15d9303
addedUniqueness of Dirichlet solutionc10b1cada5b9
addedNeumann compatibility condition5dec02ce89fd
addedRobin boundary condition26d9b2b067ab
addedPoisson kernel formula on the disk8701ae420467
addedPoisson integral in upper half-space139bda75f00b
addedPerron method92dd97eae02a
addedRegular boundary point74739171824c
addedWiener criterionc0f77251a354
addedWeakly harmonic function65ecb19d16e7
addedWeyl's lemma8bc61d3a56a6
addedDirichlet's principle85dabebaebb7
addedKelvin transform preserves harmonicity079586080598
addedReal and imaginary parts of analytic functions are harmonic282a00dd954b
addedConjugate harmonic functions33bdcacaa553
addedPolar coordinate harmonic exampleea79babd6b19
addedSolutions have derivatives of all orders6df01e5aabe5
addedPower series and Fourier series connection00777ae9cd66
addedStream function3e5e98256ea1
addedVelocity potential312f671824a3
addedAnalytic functions correspond to fluid flowse2e03f202698
addedElectrostatic potential satisfies Poisson equation167cdd064619
addedFundamental solution of Laplace's equationadd6b673cf3e
addedFundamental solution in three dimensions6d5c19bb2097
addedFundamental solution in two dimensions5475a5fcb47f
addedGreen's functionb40dee30de48
addedGreen's identityd12f520da27c
addedGreen's function for the sphere via reflection9545625bc11a
addedPoisson integral formula746b6c6ff75e
addedMean value propertyb86dff98396c
addedMaximum principle8185a95982a7
addedSpherical harmonic function30c99828c6fc
addedGeneral solution as solid harmonics expansion4e0dbce598eb
addedGauss's law for electricity2f92a5c69392
addedPoisson's equation for electricitydadd7db4b3cf
addedLaplace's equation for electric potential9695bfe51c0e
addedUniqueness of electrostatic potential3e6a16e2717c
addedMagnetic scalar potential1fba60ec5d29
addedGauss's law for gravitation9048b54530aa
addedGravitational potential as negative gradient9462116bae37
addedPoisson's equation for gravitational fields55d40ca4c288
addedLaplace's equation for gravitational fields60947e7305d2
addedKakutani's formula4a04dc137ead
addedHarmonic measure (probabilistic)b157a39a6fc5
addedHarmonic measure (analytic)44f4edf7d45a
addedHarmonic measure density is Poisson kernel49a12e08517a
addedPersides' Schwarzschild solutionac4c39366f6c