Results 11 to 20 of about 233,511 (375)
On the Solutions of Quasi-Linear Elliptic Partial Differential Equations [PDF]
Transactions of the American Mathematical Society, 1938 The literature concerning these equations being very extensive, we shall not attempt to give a complete list of references. The starting point for many more modern researches has been the work of S. Bernstein,t who was the first to prove the analyticity of the solutions of the general equation with 4 analytic and who was able to obtain a priori bounds ...
Charles B. Morrey
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Essential spectra of elliptic partial differential equations [PDF]
Bulletin of the American Mathematical Society, 1967 Let A be a closed, densely defined operator in a Banach space X. There are several definitions of the "essential" spectrum of A (cf. [ l ] , [2]). According to Wolf [3], [4] it is the complement in the complex plane of the $-set of A. The $-set $A of A is the set of points X for which (a) a(A — X), the dimension of the null space of A — X, is finite (b)
Martin Schechter
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An inverse problem for an elliptic partial differential equation
Journal of Mathematical Analysis and Applications, 1987 Für die elliptische Differentialgleichung \(\Delta u-a(x)u=0\) werden Anfangs- und Randbedingungen gestellt. Gesucht sind \(a=a(x)\) und \(u=u(x,y)\) in \(x>0\), \(y>0\). Hierfür wird ein Eindeutigkeitssatz gegeben und die Existenz und stetige Abhängigkeit von den Daten wird für genügend kleines x bewiesen. Wenn a priori bekannt ist, daß a(x)\(\geq 0\)
J. Cannon, W. Rundell
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On Classes of Solutions of Elliptic Linear Partial Differential Equations [PDF]
Proceedings of the American Mathematical Society, 1957 Introduction. Among the theorems which deal with the functional properties of the solutions of elliptic linear partial differential equations, the most important ones are perhaps the following: (a) The solutions of equations with analytic coefficients are analytic.
Avner Friedman
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A partial differential equation for pseudocontact shift [PDF]
Physical Chemistry, Chemical Physics - PCCP, 2014 It is demonstrated that pseudocontact shift (PCS), viewed as a scalar or a tensor field in three dimensions, obeys an elliptic partial differential equation with a source term that depends on the Hessian of the unpaired electron probability density.
Charnock, G.T.P., Kuprov, Ilya
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The Jacobi Elliptic Equation Method for Solving Fractional Partial Differential Equations
Abstract and Applied Analysis, 2014 Based on a nonlinear fractional complex transformation, the Jacobi elliptic equation method is extended to seek exact solutions for fractional partial differential equations in the sense of the modified Riemann-Liouville derivative.
Bin Zheng, Qinghua Feng
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Explicit and exact travelling wave solutions for Hirota equation and computerized mechanization. [PDF]
PLoS ONEBy using the power-exponential function method and the extended hyperbolic auxiliary equation method, we present the explicit solutions of the subsidiary elliptic-like equation.
Bacui Li, Fuzhang Wang, Sohail Nadeem
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Lectures on Elliptic Partial Differential Equations
, 2018 The volume develops several basic classical topics of the qualitative theory of elliptic partial differential equations and calculus of variations, including recent contributions to partial regularity for systems and the theory of viscosity solutions. The content is divided into the following five chapters: I.
Luigi Ambrosio +2 more
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Cloaking for a quasi-linear elliptic partial differential equation
Inverse Problems & Imaging, 2017 In this article we consider cloaking for a quasi-linear elliptic partial differential equation of divergence type defined on a bounded domain in $\mathbb{R}^N$ for $N=2,3$.
Brown, André EX +11 more
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Journal of research of the National Bureau of Standards, 1980 John G. Lewis, R.G. Rehm
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