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...ehavior of Holomorphic Functions on Weakly Pseudoconvex Domains|journal=J. Differential Geom.|volume=15|year=1981|pages=605–625}}</ref> He is a professor at [[Purd ...94-1995__37__7_0.pdf La sous-ellipticité pour le problème <math>\overline{\partial}</math>-Neumann dans un domaine pseudoconvexe de <math>\mathrm{\mathbf{C}^n ...

...equations]] and is well known for her work on the [[nonlinear Schrödinger equation]]. ...er dissertation was ''The Defocusing Energy-Critical Nonlinear Schrödinger Equation in Dimensions Five and Higher''.{{r|cv|mgp}} ...

..._{i=1}^n \Big(\frac {\partial^2 u}{\partial x^2_i} - \frac {\partial^2 u}{\partial y^2_i} \Big) = 0 </math> angewandt auf zwei Potentialfunktionen |url=https: ...ast=Ásgeirsson |author-mask=2|title=On Cauchy's problem for linear partial differential equations of second order in four variables|journal=Communications on Pure ...

...tric analysis on complex, Hermitian, and symplectic manifolds; and partial differential equations. He is also interested in the connections of his main research to ...large class of [[Elliptic differential equation|elliptic nonlinear partial differential equations]] of second order on [[Hermitian manifold]]s had to be investigat ...

...les|several complex variables]], [[partial differential equation]]s, and [[differential geometry]]. ...ishi|first= Masatake|title=On É. Cartan's prolongation theorem of exterior differential systems|journal=[[American Journal of Mathematics]]|volume=79|year=1957|iss ...

* [[Partial differential equation]]s * [[Elliptic differential equation]]s ...

*{{cite journal|title=Elementary solutions for certain parabolic partial differential equations|author=McKean, H. P.|journal=Trans. Amer. Math. Soc.|volume=82|is ...ore Singer|title=Curvature and the eigenvalues of the Laplacian|journal=J. Differential Geom.|volume=1|issue=1–2|year=1967|pages=43–69|issn=0273-0979|doi=10.4310/j ...

...results can be phrased purely in terms of standard [[differential geometry|differential geometric]] objects. ...), in which the Einstein equations become a system of [[hyperbolic partial differential equations]], for which well-posedness results can be applied. ...

*[[Partial differential equations]] ...n [[mathematical analysis]], [[linear elasticity]], [[partial differential equation]]s and [[several complex variables]]. He was born in [[Acireale]], and died ...

...{{mvar|d}} corresponds to two solutions. Sharaf al-Din's analysis of this equation was a notable development in [[Islamic mathematics]], but his work was not ...allowed multi-valued functions whose values are determined by an implicit equation. ...

...ential and integral [[calculus]], [[Recurrence relation|difference]] and [[differential equations]], [[Matrix (mathematics)|matrix algebra]], [[mathematical progra Formal economic modeling began in the 19th century with the use of [[differential calculus]] to represent and explain economic behavior, such as [[utility]] ...