Local existence for parabolic problems with fully nonlinear boundary condition; anL p -approach

Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I

Shmuel Agmon, Avron Douglis, Louis Nirenberg · Communications on Pure and Applied Mathematics · 1959 · 3.8K citations

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Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II

Shmuel Agmon, Avron Douglis, Louis Nirenberg · Communications on Pure and Applied Mathematics · 1964 · 1.3K citations

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Dynamic theory of quasilinear parabolic equations. II. Reaction-diffusion systems

Herbert Amann · Differential and Integral Equations · 1990 · 464 citations · Full text

Natural Sciences, Mathematics, Physics +16

Dynamic theory of quasilinear parabolic equations—I. Abstract evolution equations

Herbert Amann · Nonlinear Analysis · 1988 · 133 citations

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Quasilinear parabolic systems under nonlinear boundary conditions

Herbert Amann · Archive for Rational Mechanics and Analysis · 1986 · 125 citations

Natural Sciences, Mathematics, Physics +13