Communications in Partial Differential Equations · 1979 · 10 citations · 2 references
Natural SciencesMathematicsDifferential EquationsDynamical SystemsSystems ModelingBoundary ConditionsBoundary-value ProblemsExistence TheoryPartial Differential EquationsSystems Of Differential EquationsUniqueness TheoryCharacteristic EquationElliptic Boundary-value ProblemsParabolic Boundary-value ProblemsSecond-order Differential EquationsUniqueness In Systems Of Differential EquationsUniqueness Of SolutionsUniqueness TheoremsWeak Solutions
The object of this paper is to study systems of second order equations with nonnegative characteristic form. The systemsconsidered will have the form and a bounded domain. Such equatiom are said to be of nonnegative characteristic form if for a , and. The primary results are existence and uniqueness theorems for weak solutions to boundary value problems for systems such a s (1.1).
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Boundary Problems in Differential Equations
A. H. T., Rudolph E. Langer · Mathematics of Computation · 1960 · 275 citations