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Parabolic PDEs with Dynamic Data under a Bounded Slope Condition. [PDF]
Arch Ration Mech AnalBögelein V, Duzaar F, Treu G.
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Extended Divergence-Measure Fields, the Gauss-Green Formula and Cauchy Fluxes. [PDF]
Arch Ration Mech AnalChen GG, Irving C, Torres M.
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Age-structured mechanical models for tumor growth. [PDF]
J Math BiolLevy D, Lim H, Mellet A, Wildes M.
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Canadian Journal of Mathematics, 1979
The classical uniqueness theorems of Riesz and Koebe show an important characteristic of boundary behavior of analytic functions in the unit disc. The purpose of this note is to discuss these uniqueness theorems on hyperbolic Riemann surfaces. It will be necessary to give additional hypotheses because Riemann surfaces can be very nasty.
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The classical uniqueness theorems of Riesz and Koebe show an important characteristic of boundary behavior of analytic functions in the unit disc. The purpose of this note is to discuss these uniqueness theorems on hyperbolic Riemann surfaces. It will be necessary to give additional hypotheses because Riemann surfaces can be very nasty.
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2018
Holmgren’s uniqueness theorem is one of the fundamental results in the theory of partial differential equations. It is related to the Cauchy-Kovalevskaja theorem. Theorem 4.1.1 implies a uniqueness result in the class of analytic solutions to a large class of Cauchy problems for partial differential equations. This uniqueness assertion still allows for
Marcelo R. Ebert, Michael Reissig
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Holmgren’s uniqueness theorem is one of the fundamental results in the theory of partial differential equations. It is related to the Cauchy-Kovalevskaja theorem. Theorem 4.1.1 implies a uniqueness result in the class of analytic solutions to a large class of Cauchy problems for partial differential equations. This uniqueness assertion still allows for
Marcelo R. Ebert, Michael Reissig
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Mathematics of the USSR-Izvestiya, 1972
With an arbitrary solution of an operator equation of infinite order, a series of elementary solutions is associated. It is shown that if all coefficients of this series are zero, then the solution of the equation is identically zero.
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With an arbitrary solution of an operator equation of infinite order, a series of elementary solutions is associated. It is shown that if all coefficients of this series are zero, then the solution of the equation is identically zero.
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Mathematical Proceedings of the Cambridge Philosophical Society, 1935
1. The purpose of this note is to prove the uniqueness of the solutions of two closely related differential equations, under suitable boundary conditions. The first is the equation satisfied by the potential in the electrostatics of the new field theory proposed by Born, namely,where øx stands for etc.
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1. The purpose of this note is to prove the uniqueness of the solutions of two closely related differential equations, under suitable boundary conditions. The first is the equation satisfied by the potential in the electrostatics of the new field theory proposed by Born, namely,where øx stands for etc.
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UNIQUENESS THEOREMS FOR DIRICHLET SERIES
Bulletin of the Australian Mathematical Society, 2015We obtain uniqueness theorems for L-functions in the extended Selberg class when the functions share values in a finite set and share values weighted by multiplicities.
Wu, Ai-Di, Hu, Pei-Chu
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Uniqueness Theorems for CR Functions
Mathematische Nachrichten, 1992AbstractLet M be a CR manifold embedded in ℭs of arbitrary codimension. M is called generic if the complex hull of the tangent space in all points of M is the whole ℭs. M is minimal (in sense of Tumanov) in p ϵ M if there does not exist any CR submanifold of M passing through p with the same CR dimension as M but of smaller dimension.
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UNIQUENESS THEOREMS IN HOMOLOGY THEORY
Mathematics of the USSR-Sbornik, 1971For suitable sets of axioms, uniqueness theorems are proved in the following categories: a) countable locally finite polyhedra and proper mappings; b) metrizable compacta; c) locally compact second-countable spaces and proper mappings; d) Hausdorff spaces whose compact subspaces are metrizable; e) paracompact weakly locally contractible spaces ...
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