2022年4月26日 · "quasilinear" PDE's as PDE's whose highest order terms appear only as individual terms multiplied by lower order terms. No examples were provided; only equivalent statements involving sums and multiindices were shown, which I do not think I could decipher by tomorrow. Can someone provide some examples of "semilinear" and "quasilinear" PDE's?

We know if the utility function is quasilinear (QL) w.r.t good 1, then the demand for other goods is independent of income (no income effect for goods $(2,\dots, N)$). But is the reverse implication also true: i.e can we say if all the goods except one have demand functions independent of income then the utility function must be quasilinear?

2015年5月3日 · Quasilinear utility functions are useful in much of the demand estimation literature, particularly in discrete choice. For instance, check out Berry 1994,Berry Levinsohn Pakes 1995 and the many applications in Nevo's papers on demand estimation (here's a "practicioner's guide"). Ken Train's book on it is available for free here!

2013年2月18日 · The definition you asked about works only in some specific cases, I think. A quasi-linear equation, informally, is a PDE whose highest order terms appear only as individual terms, multiplied by lower order terms (I found this definition in this question).

2017年9月11日 · Quasilinear PDE definition? Here it's written that: Definition 3: A partial differential equation is said to be quasilinear if it is linear with respect to all the highest order derivatives of the unknown function. What does mean to be linear with respect to all the highest order derivatives?

2020年5月3日 · I think we could introduce a notion of a quasilinear function because we can define them on convex subsets of (real) vector spaces. From the other hand, we can simply define a monotone function on a subset of $\Bbb R$ (and, in general, on partially ordered sets), but there is a problem to define an order structure on any vector space.

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2016年2月1日 · Quasilinear Preference and MRS. Ask Question Asked 9 years ago. Modified 8 years, 4 months ago. Viewed 7k ...