Lewy example in PDE
E1238589
UNEXPLORED
The Lewy example in PDE is a classical counterexample in the theory of partial differential equations that demonstrates the existence of a smooth linear PDE with no local solution, highlighting limitations of earlier existence theorems.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Lewy example in PDE canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T16886711 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Lewy example in PDE Context triple: [Hans Lewy, theoremNamedAfter, Lewy example in PDE]
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A.
Agmon–Douglis–Nirenberg estimates
Agmon–Douglis–Nirenberg estimates are fundamental a priori estimates in the theory of linear elliptic partial differential equations and systems, providing precise control of solution regularity in terms of data norms.
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B.
Lectures on Partial Differential Equations
"Lectures on Partial Differential Equations" is a concise, influential textbook by Vladimir Arnold that presents the theory of partial differential equations with a strong geometric and intuitive emphasis.
-
C.
Monge–Ampère equation
The Monge–Ampère equation is a fully nonlinear partial differential equation central to differential geometry, optimal transport, and several complex variables, often used to study curvature and geometric structures.
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D.
Lectures on Cauchy’s problem in linear partial differential equations
"Lectures on Cauchy’s Problem in Linear Partial Differential Equations" is a classic mathematical treatise by Jacques Hadamard that systematically develops the theory of existence, uniqueness, and well-posedness for solutions to linear partial differential equations.
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E.
PDE
PDE is the state agency responsible for overseeing public education and related policies in Pennsylvania.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Lewy example in PDE Target entity description: The Lewy example in PDE is a classical counterexample in the theory of partial differential equations that demonstrates the existence of a smooth linear PDE with no local solution, highlighting limitations of earlier existence theorems.
-
A.
Agmon–Douglis–Nirenberg estimates
Agmon–Douglis–Nirenberg estimates are fundamental a priori estimates in the theory of linear elliptic partial differential equations and systems, providing precise control of solution regularity in terms of data norms.
-
B.
Lectures on Partial Differential Equations
"Lectures on Partial Differential Equations" is a concise, influential textbook by Vladimir Arnold that presents the theory of partial differential equations with a strong geometric and intuitive emphasis.
-
C.
Monge–Ampère equation
The Monge–Ampère equation is a fully nonlinear partial differential equation central to differential geometry, optimal transport, and several complex variables, often used to study curvature and geometric structures.
-
D.
Lectures on Cauchy’s problem in linear partial differential equations
"Lectures on Cauchy’s Problem in Linear Partial Differential Equations" is a classic mathematical treatise by Jacques Hadamard that systematically develops the theory of existence, uniqueness, and well-posedness for solutions to linear partial differential equations.
-
E.
PDE
PDE is the state agency responsible for overseeing public education and related policies in Pennsylvania.
- F. None of above. chosen
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.