Some existence and regularity results for abstract non-autonomous parabolic equations

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

Natural Sciences, Mechanical Engineering, Differential Equations +10

On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems

Shmuel Agmon · Communications on Pure and Applied Mathematics · 1962 · 586 citations

Natural Sciences, Computational Engineering, Computational Mechanics +10

On linear differential equations in banach spaces

Tosio Kato · Communications on Pure and Applied Mathematics · 1956 · 259 citations

Natural Sciences, Mathematics, Differential Equations +11

Generation of analytic semigroups by strongly elliptic operators

H.B. Stewart · Transactions of the American Mathematical Society · 1974 · 206 citations

Natural Sciences, Computational Engineering, Computational Fluid Dynamics +14

Generation of analytic semigroups by strongly elliptic operators under general boundary conditions

H.B. Stewart · Transactions of the American Mathematical Society · 1980 · 184 citations

Natural Sciences, Mathematics, Dynamical Systems +14