The DOI matches its Crossref record; 14 of the 14 references it cites were found in a registry or an index.
Quasi-linear equations of evolution, with applications to partial differential equations
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Perturbation Theory for Linear Operators
Kato, T. (1995) · Classics in Mathematics · doi:10.1007/978-3-642-66282-9 · Cited by 16,290
Self-citationSemigroups of Linear Operators and Applications to Partial Differential Equations
Pazy, A. (1983) · Applied Mathematical Sciences · doi:10.1007/978-1-4612-5561-1 · Cited by 14,262
Perturbation theory for linear operators
Kato, T. (1966) · Springer eBooks · doi:10.1007/978-3-662-12678-3 · Cited by 7,131
Self-citationFunctional Analysis and Semi-groups
Hille, E., & Phillips, R. (1996) · Colloquium Publications · doi:10.1090/coll/031 · Cited by 3,953
Yosida, K. (1965) · Springer eBooks · doi:10.1007/978-3-642-52814-9 · Cited by 3,355
Partial Differential Equations
(2022) · Differential Equations and Their Applications · doi:10.1142/9789811247460_0005 · Cited by 1,717
Methods of Mathematical Physics
Courant, R., Hilbert, D., & Teichmann, T. (1962) · Physics Today · doi:10.1063/1.3057861 · Cited by 1,419
Groups of Diffeomorphisms and the Motion of an Incompressible Fluid
Ebin, D. G., & Marsden, J. (1970) · The Annals of Mathematics · doi:10.2307/1970699 · Cited by 1,224
The Cauchy problem for quasi-linear symmetric hyperbolic systems
Kato, T. (1975) · Archive for Rational Mechanics and Analysis · doi:10.1007/bf00280740 · Cited by 884
Self-citationFoundations of global non-linear analysis
Palais, R. S. (1968) · CERN Document Server (European Organization for Nuclear Research) · Cited by 468
Linear evolution equations of "hyperbolic" type
Kato, T. (1970) · Medical Entomology and Zoology · Cited by 379
Self-citationThe identity of weak and strong extensions of differential operators
Friedrichs, K. O. (1944) · Transactions of the American Mathematical Society · doi:10.1090/s0002-9947-1944-0009701-0 · Cited by 322
Linear evolution equations of ``hyperbolic'' type, II
KATO, T. (1973) · Journal of the Mathematical Society of Japan · doi:10.2969/jmsj/02540648 · Cited by 273
Self-citationThe Einstein evolution equations as a first-order quasi-linear symmetric hyperbolic system, I
Fischer, A. E., & Marsden, J. E. (1972) · Communications in Mathematical Physics · doi:10.1007/bf02099369 · Cited by 235
Cited by
The Cauchy problem for quasi–linear hyperbolic evolution problems with a singularity in the time
Claudel, C. M., & Newman, K. P. (1998) · Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences · doi:10.1098/rspa.1998.0197 · Cited by 47
Metadata
- Authors
- Kato, T.
- Venue
- Lecture Notes in Mathematics
- Publisher
- Springer Berlin Heidelberg
- Published
- 1975
- Pages
- 25-70
- ISSN
- 0075-8434 (ISSN-L)
- 1617-9692
- OpenAlex
- W71469676
- Cited by
- 868
- References
- 14
- FWCI
- 23.64
- Type
- book chapter
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.