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Nonlinear elliptic systems with dynamic boundary conditions

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
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The coerciveness problem for forms over vector valued functions
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Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
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J. L. Lions and E. Magenes, Non‐Homogeneous Boundary Value Problems and Applications, II. (Die Grundlehren d. Math. Wissenschaften, Bd. 182). XI + 242 S. Berlin/Heidelberg/New York 1972. Springer‐Verlag. Preis geb. DM 58,—
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Gajewski, H. / Gröger, K. / Zacharias, K. , Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen, VI, 281 S. Berlin. Akademie‐Verlag. 1974. Preis 65,‐ M .
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Initial Boundary Value Problems from Semiconductor Device Theory
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Partielle Differentialgleichungen
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Non-Homogeneous Boundary Value Problems and Applications
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Interpolation Spaces: An Introduction
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Interpolation of linear operators
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Global existence and nonexistence for semilinear parabolic systems with nonlinear boundary conditions
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Recensioni
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Dual semigroups and second order linear elliptic boundary value problems
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Parabolic evolution equations and nonlinear boundary conditions
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Parabolic evolution equations in interpolation and extrapolation spaces
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Semigroups and nonlinear evolution equations
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Interpolation Theory, Function Spaces, Differential Operators
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Evolution equations with dynamic boundary conditions
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The Equation of Evolution in a Banach Space
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Equations of parabolic type in a Banach space
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The Initial Value Problem for the Linearized Equations of Water Waves
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Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen
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Interpolation in $L^{p}$ with boundary conditions
inferredcites →https://doi.org/10.57262/die/1371586185openalex-snapshot
Dynamic theory of quasilinear parabolic equations. II. Reaction-diffusion systems

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Global solutions of the Laplace equation with a nonlinear dynamical boundary condition
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The Phragmèn-Lindelöf Theorem for a Fully Nonlinear Elliptic Problem with a Dynamical Boundary Condition
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Strongly continuous dual semigroups
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Global nonexistence without blow–up for an evolution problem
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Global existence for elliptic equations with dynamic boundary conditions
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Global solutions for quasilinear parabolic problems
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The Role of Surface Diffusion in Dynamic Boundary Conditions: Where Do We Stand?
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Existence of positive solutions of a semilinear elliptic equation with a dynamical boundary condition
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The Global Solution and Blowup of a Spatiotemporal EIT Problem with a Dynamical Boundary Condition
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Maximal Regularity of Stokes Problem with Dynamic Boundary Condition — Hilbert Setting
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Non-positivity of the semigroup generated by the Dirichlet-to-Neumann operator
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Absence of local and global solutions to an elliptic system with time-fractional dynamical boundary conditions
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An exterior nonlinear elliptic problem with a dynamical boundary condition
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Minimal solutions of a semilinear elliptic equation with a dynamical boundary condition
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Long-time behavior of reaction–diffusion equations with dynamical boundary condition
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Existence and uniqueness for an elliptic problem with evolution arising in electrodynamics
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A deterministic game interpretation for fully nonlinear parabolic equations with dynamic boundary conditions
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Rate of convergence in the large diffusion limit for the heat equation with a dynamical boundary condition
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Convergence to the Poisson kernel for the Laplace equation with a nonlinear dynamical boundary condition
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PDE problems with concentrating terms near the boundary
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Global existence and uniqueness of a three-dimensional modelof cellular electrophysiology
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Finite extinction time property for a delayed linear problem on a manifold without boundary
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