boundary value problem
C41097
concept
A boundary value problem is a mathematical problem in which a differential equation is solved subject to specified conditions (boundary values) imposed on the solution at the boundaries of the domain.
All labels observed (4)
| Label | Occurrences |
|---|---|
| boundary value problem canonical | 2 |
| class of boundary value problems | 1 |
| prescribed curvature problem | 1 |
| spectral boundary value problem | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: boundary value problem
Generated description
A boundary value problem is a mathematical problem in which a differential equation is solved subject to specified conditions (boundary values) imposed on the solution at the boundaries of the domain.
Instances (5)
| Instance | Via concept surface |
|---|---|
| Dirichlet problem | — |
|
Nirenberg problem in differential geometry
surface form:
Nirenberg problem
|
prescribed curvature problem |
| Sturm–Liouville problem | — |
| Noether boundary value problems | class of boundary value problems |
| Steklov eigenvalue problem | spectral boundary value problem |