Search results

...date=2016-05-14|title=Numerical methods for the 2-Hessian elliptic partial differential equation|url=http://dx.doi.org/10.1093/imanum/drw007|journal=IMA Journal of ...the ''2−''hessian equation is unfamiliar outside Riemannian geometry and elliptic regularity theory, that is closely related to the scalar curvature operator ...

...uder estimates]] for [[Elliptic operator|elliptic]] [[partial differential equations]]. ...2=Trudinger|authorlink2=Neil Trudinger|title=Elliptic Partial Differential Equations of Second Order|publisher=Springer|publication-place=New York|year=1983|isb ...

...regular solutions to [[Elliptic operator|elliptic]] [[partial differential equations]]. ...2=Trudinger|authorlink2=Neil Trudinger|title=Elliptic Partial Differential Equations of Second Order|publisher=Springer|publication-place=New York|year=1983|isb ...

...[Hilbert's nineteenth problem]] was concerned with this concept.<ref name="Elliptic"/> == Elliptic regularity theory == ...

...results of [[Charles Morrey]] from 1938 on quasi-linear [[elliptic partial differential equation]]s. *{{citation|title=Elliptic partial differential equations and quasiconformal mappings in the plane|volume= 48|series= Princeton mathe ...

{{short description|Uniqueness for linear partial differential equations with real analytic coefficients}} ...1873&ndash;1943), is a uniqueness result for linear [[partial differential equations]] with [[real analytic]] coefficients.<ref>Eric Holmgren, "Über Systeme von ...

...quantifies the [[rate of convergence]] of a numerical approximation of a [[differential equation]] to the exact solution. Consider <math>u</math>, the exact solution to a differential equation in an appropriate [[Normed vector space|normed space]] <math>(V,|| ...

...ace operator''', is a quasilinear [[elliptic operator|elliptic]] [[partial differential operator]] of 2nd order. It is a nonlinear generalization of the [[Laplace :<math>\quad |\nabla u|^{p-2} = \left[ \textstyle \left(\frac{\partial u}{\partial x_1}\right)^2 ...

...lemma has been generalized to describe the behavior of the solution to an elliptic problem as it approaches a point on the boundary where its maximum is attai .... On properties of solutions of certain boundary problems for equations of elliptic type. Mat. Sbornik N.S. 30 (1952), no. 72, 695–702.</ref> There are also ex ...

...d [[Parabolic partial differential equation|parabolic partial differential equations]]. ...ace=Berlin, Heidelberg|language=en|periodical=Abstract Parabolic Evolution Equations and Their Applications|series=Springer Monographs in Mathematics|title=Sect ...

In applied mathematics, the '''Calderón projector''' is a [[pseudo-differential operator]] used widely in [[boundary element method]]s. It is named after [ ...teinbach |first=Olaf |date=2008 |title=Numerical Approximation Methods for Elliptic Boundary Value Problems |url=https://archive.org/details/numericalapproxi00 ...

{{Short description|Collection of results for partial differential equations}} ...of solutions to linear, uniformly [[Elliptic operator|elliptic]] [[partial differential equation]]s. The estimates say that when the equation has appropriately [[D ...

...ption|On boundary terms from integration by parts of a self-adjoint linear differential operator}} ...ary terms arising from [[integration by parts]] of a self-adjoint linear [[differential operator]]. Lagrange's identity is fundamental in [[Sturm&ndash;Liouville ...

...n|analytic functions]] and satisfy a weakened form of the [[Cauchy–Riemann equations]]. ...to an admissible <math>\sigma</math> at the point <math>z_0</math> if all partial derivatives of <math>u</math> and <math>v</math> exist and satisfy the foll ...

...re used in the theory of [[Elliptic operator|elliptic partial differential equations]], since for certain values of <math>\lambda</math>, elements of the space ...ano | title=Multiple integrals in the calculus of variations and nonlinear elliptic systems | publisher=[[Princeton University Press]] | series=Annals of Mathe ...

...the system modelled by the partial differential equation. When the partial differential equation is discretized, for example by [[finite elements]] or [[finite dif ...ational Symposium on Domain Decomposition Methods for Partial Differential Equations (Moscow, 1990) |date=1991|publisher=SIAM |location=Philadelphia, PA |isbn=9 ...

This is a list of named [[linear ordinary differential equations]]. |[[Differential geometry]] ...

...ociated to the [[Dirichlet problem]] for the semilinear [[elliptic partial differential equation]] :<math> -\triangle u = |u|^{p-1}u,\text{ with }u\mid_{\partial \Omega} = 0.</math> ...

...solutions''' ('''MFS''') is a technique for solving [[partial differential equations]] based on using the [[fundamental solution]] as a basis function. The MFS Consider a partial differential equation governing certain type of problems ...

...Sobolev space]]s <math>H^s</math>. It is useful in the study of [[partial differential equation]]s. * {{cite book | last1 = Agmon | first1 = Shmuel | title = Lectures on elliptic boundary value problems | publisher = AMS Chelsea Publishing | location = P ...