A factorization method for an inverse Neumann problem for harmonic vector fields.
Kress, R. (2003)
Georgian Mathematical Journal
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Kress, R. (2003)
Georgian Mathematical Journal
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B. Kapitonov (1992)
Banach Center Publications
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Serge Alinhac (2002)
Journées équations aux dérivées partielles
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The aim of this mini-course is twofold: describe quickly the framework of quasilinear wave equation with small data; and give a detailed sketch of the proofs of the blowup theorems in this framework. The first chapter introduces the main tools and concepts, and presents the main results as solutions of natural conjectures. The second chapter gives a self-contained account of geometric blowup and of its applications to present problem.
Sinitsyn, Alexander V., Dulov, Eugene V. (2007)
Revista Colombiana de Matemáticas
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Christodoulos Athanasiadis, Ioannis G. Stratis (1996)
Annales Polonici Mathematici
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Boundary value problems for second order linear elliptic equations with coefficients having discontinuities of the first kind on an infinite number of smooth surfaces are studied. Existence, uniqueness and regularity results are furnished for the diffraction problem in such a bounded domain, and for the corresponding transmission problem in all of . The transmission problem corresponding to the scattering of acoustic plane waves by an infinitely stratified scatterer, consisting of layers...
Rainer Picard (1992)
Banach Center Publications
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The paper considers the static Maxwell system for a Lipschitz domain with perfectly conducting boundary. Electric and magnetic permeability ε and μ are allowed to be monotone and Lipschitz continuous functions of the electromagnetic field. The existence theory is developed in the framework of the theory of monotone operators.
Chkadua, O. (1995)
Georgian Mathematical Journal
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Khomasuridze, N. (1998)
Georgian Mathematical Journal
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Hart F. Smith (2001)
Journées équations aux dérivées partielles
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This talk describes joint work with Chris Sogge and Markus Keel, in which we establish a global existence theorem for null-type quasilinear wave equations in three space dimensions, where we impose Dirichlet conditions on a smooth, compact star-shaped obstacle . The key tool, following Christodoulou [1], is to use the Penrose compactification of Minkowski space. In the case under consideration, this reduces matters to a local existence theorem for a singular obstacle problem. Full details...
Janno, Jaan (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Muntean, A. (2009)
Acta Mathematica Universitatis Comenianae. New Series
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