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On the Existence and Boundedness of Solutions of Nonlinear Partial Differential Equations of Parabolic Type

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Publication:5788581
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DOI10.2307/1990557zbMath0032.06903OpenAlexW4247925313MaRDI QIDQ5788581

Richard Bellman

Publication date: 1948

Full work available at URL: https://doi.org/10.2307/1990557

zbMATH Keywords

Partial differential equations



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Parabolic differential equations and Lyapunov like functions, On the stability of solutions of the nonlinear equation of heat conduction, Soluzioni Limitate, O Quasi-Periodiche, Dell’Equazione Quasi-Lineare del Calore, Stability and semilinear evolution equations in Hilbert space, Stability of solutions of nonlinear diffusion problems, A note on the stability properties of uniform temperature fields, Robust stability of the heat equation on a radial symmetric plate, Notes on criteria for the stability of steady state solutions of parabolic equations, Unstable periodic solutions of a parabolic problem in the presence of non-well-ordered lower and upper solutions



Cites Work

  • Zur Theorie der nichtlinearen partiellen Differentialgleichungen vom parabolischen Typus
  • On Double Sturm-Liouville Series
  • The Identity of Weak and Strong Extensions of Differential Operators
  • On the Stability of Systems of Differential Equations
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