A phragmén-lindelöf theorem in harmonic analysis and its application to some questions in the theory of elliptic equations
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Publication:3242411
DOI10.1002/cpa.3160100305zbMath0077.31501OpenAlexW2151193117MaRDI QIDQ3242411
Publication date: 1957
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/cpa.3160100305
Related Items (28)
Phragmén-Lindelöf decay theorems for classes of nonlinear Dirichlet problems in a circular cylinder ⋮ Propagation of cracks in elastic media ⋮ Eigenfunction expansions associated with the Laplacian for certain domains with infinite boundaries. I ⋮ Qualitative properties of nonlinear parabolic operators ⋮ Stagnation zones for \(\mathcal A\)-harmonic functions on canonical domains ⋮ A boundary value problem for the Poisson equation with multi-scale oscillating boundary ⋮ Exceptional Boundary Sets for Solutions of Parabolic Partial Differential Inequalities ⋮ The Saint-Venant principle in the two-dimensional theory of elasticity and boundary problems for a biharmonic equation in unbounded domains ⋮ Elliptic equations in Hilbert space and associated spectral problems ⋮ On the boundary-value problem for a class of operator-differential equations of third order ⋮ Phragmen-Lindelof theorems for some nonlinear elliptic partial differential equations ⋮ Spaces of smooth and generalized vectors of the generator of an analytic semigroup and their applications ⋮ Existence and optimal convergence rates of multi-dimensional subsonic potential flows through an infinitely long nozzle with an obstacle inside ⋮ Time-dependent coating flows in a strip, Part I: The linearized problem ⋮ Behaviour of solutions of elliptic differential inequalities near a point of discontinuous boundary data ⋮ Exponential decay estimates for second-order quasi-linear elliptic equations ⋮ Travelling fronts in cylinders ⋮ Phragmen-Lindelöf and comparison theorems for elliptic equations with mixed boundary conditions ⋮ Applications of the division theorem in \(H^ s\) ⋮ Decay theorems for nonlinear Dirichlet problems in semi-infinite cylinders ⋮ Translation invariant spaces ⋮ On some classes of integro-differential equations on the half-line and related operator functions ⋮ Theconvergence Rate of Solutions of Quasilinear Elliptic Equations in Slabs ⋮ Phragmen-Lindelöf theorems for some non-linear elliptic partial differential equations ⋮ The rate of decay of a minimal surface defined over a semiinfinite strip ⋮ A note on the spatial decay of a three-dimensional minimal surface over a semi-infinite cylinder ⋮ On the Neumann problem for higher order divergent elliptic equations in an unbounded domain, close to a cylinder ⋮ Phragmén-Lindelöf principles for solutions of elliptic differential inequalities
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